Miguel Alcubierre

The Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes (2009)

Alcubierre, Miguel, Degollado, Juan Carlos, Salgado, Marcelo

We consider the Einstein-Maxwell system as a Cauchy initial value problem taking the electric and magnetic fields as independent variables. Maxwell's equations in curved spacetimes are derived in...

Hyperbolicity of scalar-tensor theories of gravity (2008)

Salgado, Marcelo, Rio, David Martinez-del, Alcubierre, Miguel, Núñez, Dario

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity (STT) allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of...

Hyperbolicity of scalar-tensor theories of gravity (2008)

Salgado, Marcelo, Alcubierre, Miguel, Nunez, Dario

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of spacetime....

Multipole expansions for energy and momenta carried by gravitational waves (2007)

Ruiz, Milton, Alcubierre, Miguel, Nunez, Dario, Takahashi, Ryoji

We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of...

Regularization of spherical and axisymmetric evolution codes in numerical relativity (2007)

Ruiz, Milton, Alcubierre, Miguel, Nunez, Dario

Several interesting astrophysical phenomena are symmetric with respect to the rotation axis, like the head-on collision of compact bodies, the collapse and/or accretion of fields with a large variety...

Towards a stable numerical evolution of strongly gravitating systems in general relativity: The conformal treatments (2006)

Alcubierre, Miguel, Stergioulas, Nickolaos Athanassion

We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the...

Dynamical evolution of quasi-circular binary black hole data (2005)

Alcubierre, Miguel, Brügmann, Bernd, Diener, Peter, Guzmán, F. Siddhartha, Hawke, Ian, Hawley, Scott, ...

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasicircular orbits. The cases...

Dynamical evolution of quasi-circular binary black hole data (2005)

Alcubierre,Miguel, Brügmann,Bernd, Diener,Peter, Guzman,Francisco, Hawke,S. I., Hawley,S., ...

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasi-circular orbits. The cases...

Generalized harmonic spatial coordinates and hyperbolic shift conditions (2005)

Alcubierre, Miguel, Corichi, Alejandro, González, José A., Núñez, Darío, Reimann, Bernd, Salgado, Marcelo

We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al., and closely related to dynamic...

Are gauge shocks really shocks? (2005)

Alcubierre, Miguel

The existence of gauge pathologies associated with the Bona-Masso family of generalized harmonic slicing conditions is proven for the case of simple 1+1 relativity. It is shown that these gauge...

Gauge and constraint shocks in one-dimensional numerical relativity (2005)

Reimann,Bernd, Alcubierre,Miguel, Gonzalez,J. A., Nunez,D.

We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be...

Generalized harmonic spatial coordinates and hyperbolic shift conditions (2005)

Alcubierre,Miguel, Corichi,A., Gonzalez,J. A., Nunez,D., Reimann,Bernd, Salgado,M.

We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al. These generalized harmonic spatial...

Gauge and constraint shocks in one-dimensional numerical relativity (2005)

Reimann, Bernd, Alcubierre, Miguel, Gonzalez, Jose A., Nunez, Dario

We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be...

Dynamical evolution of quasi-circular binary black hole data (2005)

Alcubierre, Miguel, Brügmann, Bernd, Diener, Peter, Guzman, F. Siddhartha, Hawke, Ian, Hawley, Scott, ...

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasi-circular orbits. The cases...

Generalized harmonic spatial coordinates and hyperbolic shift conditions (2005)

Alcubierre, Miguel, Corichi, Alejandro, Gonzalez, Jose A., Nunez, Dario, Reimann, Bernd, Salgado, Marcelo

We propose a generalization of the condition for harmonic spatial coordinates analogous to the generalization of the harmonic time slices introduced by Bona et al. These generalized harmonic spatial...

Constraint and gauge shocks in one-dimensional numerical relativity (2005)

Reimann, Bernd, Alcubierre, Miguel, Gonzalez, Jose A., Nunez, Dario

We study how different types of blowups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be...

The status of numerical relativity (2004)

Alcubierre, Miguel

Numerical relativity has come a long way in the last three decades and is now reaching a state of maturity. We are gaining a deeper understanding of the fundamental theoretical issues related to the...

Dynamical evolution of quasi-circular binary black hole data (2004)

Alcubierre, Miguel, Bruegmann, Bernd, Diener, Peter, Guzman, F. Siddhartha, Hawke, Ian, Hawley, Scott, ...

We study the fully nonlinear dynamical evolution of binary black hole data, whose orbital parameters are specified via the effective potential method for determining quasi-circular orbits. The cases...

Testing excision techniques for dynamical 3D black hole evolutions (2004)

Alcubierre, Miguel, Bruegmann, Bernd, Diener, Peter, Herrmann, Frank, Pollney, Denis, Seidel, Edward, ...

We perform both distorted black hole evolutions and binary black hole head on collisions and compare the results of using a full grid to results obtained by excising the black hole interiors. In both...

Constraint and gauge shocks in one-dimensional numerical relativity (2004)

Reimann, Bernd, Alcubierre, Miguel, González, José A., Núñez, Darío

We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be...

On a debate about cosmic censor violation (2004)

Alcubierre, Miguel, Gonzalez, Jose A., Salgado, Marcelo, Sudarsky, Daniel

We review the arguments and counter arguments about the recent proposal for generic censorship violation. In particular the argument made in gr-qc/0405050 against our proposal for a possible...

Dynamical evolution of unstable self-gravitating scalar solitons (2004)

Alcubierre, Miguel, Gonzalez, Jose A., Salgado, Marcelo

Recently, static and spherically symmetric configurations of globally regular self-gravitating scalar solitons were found. These configurations are unstable with respect to radial linear...

The cosmic censor conjecture: Is it generically violated? (2004)

Alcubierre, Miguel, Gonzalez, Jose A., Salgado, Marcelo, Sudarsky, Daniel

It has been recently argued by Hertog, Horowitz and Maeda, that generic reasonable initial data in asymptotically anti deSitter, spherically symmetric, space-times within an Einstein-Higgs theory,...

Regularization of spherically symmetric evolution codes in numerical relativity (2004)

Alcubierre, Miguel, Gonzalez, Jose A.

The lack of regularity of geometric variables at the origin is often a source of serious problem for spherically symmetric evolution codes in numerical relativity. One usually deals with this by...

Towards standard testbeds for numerical relativity (2004)

Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzmán, F. Siddhartha, ...

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...

Toward standard testbeds for numerical relativity (2004)

Alcubierre,Miguel, Allen,Gabrielle, Bona,Carles, Fiske,David, Goodale,Tom, Guzman,F. Siddhartha, ...

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...

Toward standard testbeds for numerical relativity (2004)

Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David R., Goodale, Tom, Guzman, F. Siddhartha, ...

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...

Toward standard testbeds for numerical relativity (2003)

Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzman, F. Siddharta, ...

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...

Hyperbolicity of the Kidder-Scheel-Teukolsky formulation of Einstein's equations coupled to a modified Bona-Masso slicing condition (2003)

Alcubierre, Miguel, Corichi, Alejandro, Gonzalez, Jose A., Nunez, Dario, Salgado, Marcelo

We show that the Kidder-Scheel-Teukolsky family of hyperbolic formulations of the 3+1 evolution equations of general relativity remains hyperbolic when coupled to a recently proposed modified version...

A hyperbolic slicing condition adapted to Killing fields and densitized lapses (2003)

Alcubierre, Miguel, Corichi, Alejandro, Gonzalez, Jose A., Nunez, Dario, Salgado, Marcelo

We study the properties of a modified version of the Bona-Masso family of hyperbolic slicing conditions. This modified slicing condition has two very important features: In the first place, it...

Numerical studies of Phi^2-Oscillatons (2003)

Alcubierre, Miguel, Becerril, Ricardo, Guzman, F. Siddhartha, Matos, Tonatiuh, Nunez, Dario, Urena-Lopez, L. Arturo

We present an exhaustive analysis of the numerical evolution of the Einstein-Klein-Gordon equations for the case of a real scalar field endowed with a quadratic self-interaction potential. The...

Gauge conditions for long-term numerical black hole evolutions without excision (2003)

Alcubierre,Miguel, Brügmann,Bernd, Diener,Peter, Koppitz,Michael, Pollney,Denis, Seidel,Edward, ...

Numerical relativity has faced the problem that standard 3+1 simulations without black hole excision and with singularity avoiding lapse and vanishing shift fail after an evolution time of around...

Gauge conditions for long-term numerical black hole evolutions without excision (2003)

Alcubierre, Miguel, Brügmann, Bernd, Diener, Peter, Koppitz, Michael, Pollney, Denis, Seidel, Edward, ...

Numerical relativity has faced the problem that standard 3+1 simulations without black hole excision and with singularity avoiding lapse and vanishing shift fail after an evolution time of around...

Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks (2002)

Alcubierre, Miguel

I study the Bona-Masso family of hyperbolic slicing conditions, considering in particular its properties when approaching two different types of singularities: focusing singularities and gauge...

Galacitic Collapse of Scalar Field Dark Matter (2002)

Alcubierre,Miguel, Guzman,F. Siddhartha, Matos,Tonatiuh, Nunez,Dario, Urena-Lopez,L. Arturo, Wiederhold,Petra

We present a scenario for galaxy formation based on the hypothesis of scalar field dark matter. We interpret galaxy formation through the collapse of a scalar field fluctuation. We find that a cosh...

Gauge conditions for long-term numerical black hole evolutions without excision (2002)

Alcubierre, Miguel, Bruegmann, Bernd, Diener, Peter, Koppitz, Michael, Pollney, Denis, Seidel, Edward, ...

Numerical relativity has faced the problem that standard 3+1 simulations of black hole spacetimes without singularity excision and with singularity avoiding lapse and vanishing shift fail after an...

Scalar Field Dark Matter and Galaxy Formation (2002)

Alcubierre, Miguel, Guzman, F. Siddhartha, Matos, Tonatiuh, Nunez, Dario, Urena-Lopez, L. Arturo, Wiederhold, Petra

We present a general description of the scalar field dark matter (SFDM) hypothesis in the cosmological context. The scenario of structure formation under such a hypothesis is based on Jeans...

Isometric embeddings of black hole horizons in three-dimensional flat space (2002)

Bondarescu,Mihai, Alcubierre,Miguel, Seidel,Edward

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding...

Testing the Cactus code on exact solutions of Einstein field equations (2002)

Vulcanov,Dumitru N., Alcubierre,Miguel

The article presents a series of numerical simulations of exact solutions of the Einstein equations performed using the Cactus code, a complete 3-dimensional machinery for numerical relativity. We...

Isometric embeddings of black hole horizons in three-dimensional flat space (2002)

Bondarescu, Mihai, Alcubierre, Miguel, Seidel, Edward

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding...

Scalar Field Dark Matter and Galaxy Formation (2002)

Alcubierre, Miguel, Guzman, F. Siddhartha, Matos, Tonatiuh, Nunez, Dario, Urena-Lopez, L. Arturo, Wiederhold, Petra

We present a general description of the scalar field dark matter (SFDM) hypothesis in the cosmological context. The scenario of structure formation under such a hypothesis is based on Jeans...

Galacitic Collapse of Scalar Field Dark Matter (2002)

Alcubierre, Miguel, Guzman, F. Siddhartha, Matos, Tonatiuh, Nunez, Dario, Urena-Lopez, L. Arturo, Wiederhold, Petra

We present a scenario for galaxy formation based on the hypothesis of scalar field dark matter. We interpret galaxy formation through the collapse of a scalar field fluctuation. We find that a cosh...

Testing the Cactus code on exact solutions of Einstein field equations (2002)

Vulcanov, Dumitru N., Alcubierre, Miguel

The article presents a series of numerical simulations of exact solutions of the Einstein equations performed using the Cactus code, a complete 3-dimensional machinery for numerical relativity. We...

3D grazing collision of two black holes (2001)

Alcubierre,Miguel, Benger,Werner, Brügmann,Bernd, Lanfermann,Gerd, Nerger,Lars, Seidel,Edward, ...

We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time, gravitational waveforms are computed for a grazing collision from a full 3D...

Galactic Collapse of Scalar Field Dark Matter (2001)

Alcubierre, Miguel, Guzman, F. Siddhartha, Matos, Tonatiuh, Nunez, Dario, Urena-Lopez, L. Arturo, Wiederhold, Petra

We present a scenario for galaxy formation based on the hypothesis of scalar field dark matter. We interpret galaxy formation through the collapse of a scalar field fluctuation. We find that a cosh...

Testing the Cactus code on exact solutions of the Einstein field equations (2001)

Vulcanov, Dumitru N., Alcubierre, Miguel

The article presents a series of numerical simulations of exact solutions of the Einstein equations performed using the Cactus code, a complete 3-dimensional machinery for numerical relativity. We...

Isometric embeddings of black hole horizons in three-dimensional flat space (2001)

Bondarescu, Mihai, Alcubierre, Miguel, Seidel, Edward

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding...

Black Hole Excision for Dynamic Black Holes (2001)

Alcubierre, Miguel, Bruegmann, Bernd, Pollney, Denis, Seidel, Edward, Takahashi, Ryoji

We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We...

Black Hole Excision for Dynamic Black Holes (2001)

Alcubierre,Miguel, Brügmann,Bernd, Pollney,Denis, Seidel,Edward

We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We...

Simple excision of a black hole in 3 + 1 numerical relativity (2001)

Alcubierre,Miguel, Brügmann,Bernd

We describe a simple implementation of black hole excision in 3 + 1 numerical relativity. We apply this technique to a Schwarzschild black hole with octant symmetry in Eddington-Finkelstein...

Black Hole Excision for Dynamic Black Holes (2001)

Alcubierre, Miguel, Brügmann, Bernd, Pollney, Denis, Seidel, Edward

We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We...

Simple excision of a black hole in 3 + 1 numerical relativity (2001)

Alcubierre, Miguel, Brügmann, Bernd

We describe a simple implementation of black hole excision in 3 + 1 numerical relativity. We apply this technique to a Schwarzschild black hole with octant symmetry in Eddington-Finkelstein...

3D grazing collision of two black holes (2001)

Alcubierre, Miguel, Benger, Werner, Bruegmann, Bernd, Lanfermann, Gerd, Nerger, Lars, Seidel, Edward, ...

We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time, gravitational waveforms are computed for a grazing collision from a full 3D...

Symmetry without symmetry: Numerical simulation of axisymmetric systems using Cartesian grids. (2001)

Alcubierre, Miguel, Brandt, Steven, Brügmann, Bernd, Holz, Daniel, Seidel, Edward, Takahashi, Ryoji, ...

We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate...

The 3D Grazing Collision of Two Black Holes (2000)

Alcubierre, Miguel, Benger, Werner, Bruegmann, Bernd, Lanfermann, Gerd, Nerger, Lars, Seidel, Edward, ...

We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time gravitational waveforms are computed for a grazing collision from a full 3D...

Time-Symmetric ADI and Causal Reconnection: Stable Numerical Techniques for Hyperbolic Systems on Moving Grids (2000)

Alcubierre, Miguel, Schutz, Bernard F.

Moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical relativity. We show that conventional integration methods for the simple wave equation in one and...

The warp drive: hyper-fast travel within general relativity (2000)

Alcubierre, Miguel

It is shown how, within the framework of general relativity and without the introduction of wormholes, it is possible to modify a spacetime in a way that allows a spaceship to travel with an...

Simple excision of a black hole in 3+1 numerical relativity (2000)

Alcubierre, Miguel, Bruegmann, Bernd

We describe a simple implementation of black hole excision in 3+1 numerical relativity. We apply this technique to a Schwarzschild black hole with octant symmetry in Eddington-Finkelstein coordinates...

Towards a Stable Numerical Evolution of Strongly Gravitating Systems in General Relativity: The Conformal Treatments (2000)

Alcubierre, Miguel, Bruegmann, Bernd, Dramlitsch, Thomas, Font, Jose A., Papadopoulos, Philippos, Seidel, Edward, ...

We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the...

Towards a Stabel Numerical Evolution of Strongly Gravitating Systems in General Relativity :The Conformal Treatments (2000)

Alcubierre,Miguel, Brügmann,Bernd, Dramlitsch,Thomas, Font,José A., Papadopoulos,Philippos, Seidel,Edward, ...

We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the...

Towards a Stabel Numerical Evolution of Strongly Gravitating Systems in General Relativity :The Conformal Treatments (2000)

Alcubierre, Miguel, Brügmann, Bernd, Dramlitsch, Thomas, Font, Jose A., Papadopoulos, Philippos, Seidel, Edward, ...

We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the...

Gravitational collapse of gravitational waves in 3D numerical relativity. (2000)

Alcubierre, Miguel, Allen, Gabrielle, Brügmann, Bernd, Lanfermann, Gerd, Seidel, Edward, Suen, Wai-Mo, ...

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and...

Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity. (2000)

Alcubierre, Miguel, Allen, Gabrielle, Brügmann, Bernd, Seidel, Edward, Suen, Wai-Mo

We study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus attention on modes with...

Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity (1999)

Alcubierre, Miguel, Allen, Gabrielle, Bruegmann, Bernd, Seidel, Edward, Suen, Wai-Mo

We study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus attention on modes with...

Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity (1999)

Alcubierre, Miguel, Allen, Gabrielle, Bruegmann, Bernd, Lanfermann, Gerd, Seidel, Edward, Suen, Wai-Mo, ...

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and...

A Conformal Hyperbolic Formulation of the Einstein Equations (1999)

Alcubierre, Miguel, Brugmann, Bernd, Miller, Mark, Suen, Wai-Mo

We propose a re-formulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the non-conformal degrees of freedom with the latter satisfying a first...

A conformal hyperbolic formulation of the Einstein equations. (1999)

Alcubierre, Miguel, Brügmann, Bernd, Miller, Mark, Suen, Wai-Mo

We propose a reformulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the nonconformal degrees of freedom with the latter satisfying a first order...

Pathologies of hyperbolic gauges in general relativity and other field theories. (1998)

Alcubierre, Miguel, Masso, Joan

We present a mathematical characterization of hyperbolic gauge pathologies in electrodynamics and general relativity. We show analytically how non-linear gauge terms can produce a blow-up of some...

Pathologies of hyperbolic gauges in general relativity and other field theories (1997)

Alcubierre, Miguel, Masso, Joan

We present a mathematical characterization of hyperbolic gauge pathologies in general relativity and electrodynamics. We show how non-linear gauge terms can produce a blow-up along characteristics...

Appearance of coordinate shocks in hyperbolic formalisms of general relativity (1997)

Alcubierre, Miguel

I consider the appearance of shocks in hyperbolic formalisms of general relativity. I study the particular case of the Bona-Massó formalism with a zero shift vector and show how shocks associated...

The appearance of coordinate shocks in hyperbolic formalisms of General Realtivity (1996)

Alcubierre, Miguel

I consider the appearance of shocks in hyperbolic formalisms of General Relativity. I study the particular case of the Bona-Masso formalism with zero shift vector and show how shocks associated with...

Time-Symmetric ADI and Causal Reconnection: Stable Numerical Techniques for Hyperbolic Systems on Moving Grids (1994)

Alcubierre,Miguel, Schutz,Bernard F.

Moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical relativity. We show that conventional integration methods for the simple wave equation in one and...

Time-Symmetric ADI and Causal Reconnection: Stable Numerical Techniques for Hyperbolic Systems on Moving Grids (1994)

Alcubierre, Miguel, Schutz, Bernard F.

Moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical relativity. We show that conventional integration methods for the simple wave equation in one and...

Scalar Field Dark Matter and Galaxy Formation

Alcubierre,Miguel, Guzman,F. Siddhartha, Matos,Tonatiuh, Nunez,Dario, Urena-Lopez,L. Arturo, Wiederhold,Petra

We present a general description of the scalar field dark matter (SFDM) hypothesis in the cosmological context. The scenario of structure formation under such a hypothesis is based on Jeans...