Chu, Tony, Pfeiffer, Harald P., Scheel, Mark A.
High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with...
Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...
The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...
Black hole initial data on hyperboloidal slices (2009)
Buchman, Luisa T., Pfeiffer, Harald P., Bardeen, James M.
We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several...
Buonanno, Alessandra, Pan, Yi, Pfeiffer, Harald P., Scheel, Mark A., Buchman, Luisa T., Kidder, Lawrence E.
We calibrate the effective-one-body (EOB) model to an accurate numerical simulation of an equal-mass, nonspinning binary black-hole coalescence produced by the Caltech-Cornell Collaboration. Aligning...
Status of NINJA: the Numerical INJection Analysis project (2009)
Cadonati, Laura, Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., ...
The 2008 NRDA conference introduced the Numerical INJection Analysis project (NINJA), a new collaborative effort between the numerical relativity community and the data analysis community. NINJA...
Status of NINJA: the Numerical INJection Analysis project (2009)
Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...
The 2008 NRDA conference introduced the Numerical INJection Analysis project (NINJA), a new collaborative effort between the numerical relativity community and the data analysis community. NINJA...
Hannam, Mark, Husa, Sascha, Baker, John G., Boyle, Michael, Brügmann, Bernd, Chu, Tony, ...
We quantify the consistency of numerical-relativity black-hole-binary waveforms for use in gravitational-wave (GW) searches with current and planned ground-based detectors. We compare previously...
Implementation of higher-order absorbing boundary conditions for the Einstein equations (2009)
Rinne, Oliver, Buchman, Luisa T., Scheel, Mark A., Pfeiffer, Harald P.
We present an implementation of absorbing boundary conditions for the Einstein equations based on the recent work of Buchman and Sarbach. In this paper, we assume that spacetime may be linearized...
Revisiting event horizon finders (2009)
Cohen, Michael I., Pfeiffer, Harald P., Scheel, Mark A.
Event horizons are the defining physical features of black hole spacetimes, and are of considerable interest in studying black hole dynamics. Here, we reconsider three techniques to find event...
Buonanno, Alessandra, Pan, Yi, Pfeiffer, Harald P., Scheel, Mark A., Buchman, Luisa T., Kidder, Lawrence E.
We calibrate the effective-one-body (EOB) model to an accurate numerical simulation of an equal-mass, non-spinning binary black-hole coalescence produced by the Caltech-Cornell collaboration....
Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...
The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...
Hannam, Mark, Husa, Sascha, Baker, John G., Boyle, Michael, Bruegmann, Bernd, Chu, Tony, ...
We quantify the consistency of numerical-relativity black-hole-binary waveforms for use in gravitational-wave (GW) searches with current and planned ground-based detectors. We compare previously...
High-accuracy waveforms for binary black hole inspiral, merger, and ringdown (2009)
Scheel, Mark A., Boyle, Michael, Chu, Tony, Kidder, Lawrence E., Matthews, Keith D., Pfeiffer, Harald P.
The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass nonspinning binary black hole system are presented. Gravitational waveforms from these simulations have...
Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...
The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...
IMEX evolution of scalar fields on curved backgrounds (2009)
Lau, Stephen R., Pfeiffer, Harald P., Hesthaven, Jan S.
Inspiral of binary black holes occurs over a time-scale of many orbits, far longer than the dynamical time-scale of the individual black holes. Explicit evolutions of a binary system therefore...
Implementation of higher-order absorbing boundary conditions for the Einstein equations (2008)
Rinne, Oliver, Buchman, Luisa T., Scheel, Mark A., Pfeiffer, Harald P.
We present an implementation of absorbing boundary conditions for the Einstein equations based on the recent work of Buchman and Sarbach. In this paper, we assume that spacetime may be linearized...
Boyle, Michael, Buonanno, Alessandra, Kidder, Lawrence E., Mroué, Abdul H., Pan, Yi, Pfeiffer, Harald P., ...
Expressions for the gravitational-wave (GW) energy flux and center-of-mass energy of a compact binary are integral building blocks of post-Newtonian (PN) waveforms. In this paper, we compute the GW...
Binary-black-hole initial data with nearly extremal spins (2008)
Lovelace, Geoffrey, Owen, Robert, Pfeiffer, Harald P., Chu, Tony
There is a significant possibility that astrophysical black holes with nearly extremal spins exist. Numerical simulations of such systems require suitable initial data. In this paper, we examine...
High-accuracy waveforms for binary black hole inspiral, merger, and ringdown (2008)
Scheel, Mark A., Boyle, Michael, Chu, Tony, Kidder, Lawrence E., Matthews, Keith D., Pfeiffer, Harald P.
The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass non-spinning binary black hole system are presented. Gravitational waveforms from these simulations have...
Revisiting Event Horizon Finders (2008)
Cohen, Michael I., Pfeiffer, Harald P., Scheel, Mark A.
Event horizons are the defining physical features of black hole spacetimes, and are of considerable interest in studying black hole dynamics. Here, we reconsider three techniques to localise event...
Duez, Matthew D., Foucart, Francois, Kidder, Lawrence E., Pfeiffer, Harald P., Scheel, Mark A., Teukolsky, Saul A.
We present a code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved in generalized harmonic coordinates...
IMEX evolution of scalar fields on curved backgrounds (2008)
Lau, Stephen R., Pfeiffer, Harald P., Hesthaven, Jan S.
Inspiral of binary black holes occurs over a time-scale of many orbits, far longer than the dynamical time-scale of the individual black holes. Explicit evolutions of a binary system therefore...
Initial data for black hole–neutron star binaries: A flexible, high-accuracy spectral method (2008)
Foucart, Francois, Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We present a new numerical scheme to solve the initial value problem for black hole–neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain...
Binary-black-hole initial data with nearly-extremal spins (2008)
Lovelace, Geoffrey, Owen, Robert, Pfeiffer, Harald P., Chu, Tony
There is a significant possibility that astrophysical black holes with nearly-extremal spins exist. Numerical simulations of such systems require suitable initial data. In this paper, we examine...
Boyle, Michael, Buonanno, Alessandra, Kidder, Lawrence E., Mroué, Abdul H., Pan, Yi, Pfeiffer, Harald P., ...
Expressions for the gravitational wave (GW) energy flux and center-of-mass energy of a compact binary are integral building blocks of post-Newtonian (PN) waveforms. In this paper, we compute the GW...
Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method (2008)
Foucart, Francois, Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain...
High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions (2007)
Boyle, Michael, Brown, Duncan A., Kidder, Lawrence E., Mroué, Abdul H., Pfeiffer, Harald P., Scheel, Mark A., ...
Numerical simulations of 15 orbits of an equal-mass binary black-hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles...
High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions (2007)
Boyle, Michael, Brown, Duncan A., Kidder, Lawrence E., Mroue, Abdul H., Pfeiffer, Harald P., Scheel, Mark A., ...
Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles...
Reducing orbital eccentricity in binary black hole simulations (2007)
Pfeiffer, Harald P., Brown, Duncan A., Kidder, Lawrence E., Lindblom, Lee, Lovelace, Geoffrey, Scheel, Mark A.
Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but nonzero orbital eccentricities. In this paper, the quasi-equilibrium...
Reducing orbital eccentricity in binary black hole simulations (2007)
Pfeiffer, Harald P., Brown, Duncan A., Kidder, Lawrence E., Lindblom, Lee, Lovelace, Geoffrey, Scheel, Mark A.
Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium...
Einstein constraints: Uniqueness and nonuniqueness in the conformal thin sandwich approach (2007)
Baumgarte, Thomas W., Murchadha, Niall Ó, Pfeiffer, Harald P.
We study the appearance of multiple solutions to certain decompositions of Einstein's constraint equations. Pfeiffer and York recently reported the existence of two branches of solutions for a...
Testing the accuracy and stability of spectral methods in numerical relativity (2007)
Boyle, Michael, Lindblom, Lee, Pfeiffer, Harald P., Scheel, Mark A., Kidder, Lawrence E.
The accuracy and stability of the Caltech-Cornell pseudospectral code is evaluated using the Kidder, Scheel, and Teukolsky (KST) representation of the Einstein evolution equations. The basic...
Solving Einstein's equations with dual coordinate frames (2006)
Scheel, Mark A., Pfeiffer, Harald P., Lindblom, Lee, Kidder, Lawrence E., Rinne, Oliver, Teukolsky, Saul A.
A method is introduced for solving Einstein's equations using two distinct coordinate systems. The coordinate basis vectors associated with one system are used to project out components of the metric...
Baumgarte, Thomas W., Murchadha, Niall Ó, Pfeiffer, Harald P.
We study the appearance of multiple solutions to certain decompositions of Einstein's constraint equations. Pfeiffer and York recently reported the existence of two branches of solutions for...
Approximate initial data for binary black holes (2006)
Dennison, Kenneth A., Baumgarte, Thomas W., Pfeiffer, Harald P.
We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to...
Circular orbits and spin in black-hole initial data (2006)
Caudill, Matthew, Cook, Gregory B., Grigsby, Jason D., Pfeiffer, Harald P.
The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such...
Solving Einstein's Equations With Dual Coordinate Frames (2006)
Scheel, Mark A., Pfeiffer, Harald P., Lindblom, Lee, Kidder, Lawrence E., Rinne, Oliver, Teukolsky, Saul A.
A method is introduced for solving Einstein's equations using two distinct coordinate systems. The coordinate basis vectors associated with one system are used to project out components of the metric...
Approximate initial data for binary black holes (2006)
Dennison, Kenneth A., Baumgarte, Thomas W., Pfeiffer, Harald P.
We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to...
Circular orbits and spin in black-hole initial data (2006)
Caudill, Matthew, Cook, Gregory B., Grigsby, Jason D., Pfeiffer, Harald P.
The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such...
Initial data for black hole evolutions (2005)
We discuss the initial value problem of general relativity in its recently unified Lagrangian and Hamiltonian pictures and present a multi-domain pseudo-spectral collocation method to solve the...
Uniqueness and nonuniqueness in the Einstein constraints (2005)
The conformal thin-sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory. We examine numerically solutions of the CTS...
Uniqueness and Non-uniqueness in the Einstein Constraints (2005)
Pfeiffer, Harald P., York, James W.
The conformal thin sandwich (CTS) equations are a set of four of the Einstein equations, which generalize the Laplace-Poisson equation of Newton's theory. We examine numerically solutions of the CTS...
Boundary conditions for the Einstein evolution system (2005)
Kidder, Lawrence E., Lindblom, Lee, Scheel, Mark A., Buchman, Luisa T., Pfeiffer, Harald P.
New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from entering the...
Initial data for Einstein's equations with superposed gravitational waves (2005)
Pfeiffer, Harald P., Kidder, Lawrence E., Scheel, Mark A., Shoemaker, Dierdre
A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. The method combines...
Boundary Conditions for the Einstein Evolution System (2004)
Kidder, Lawrence E., Lindblom, Lee, Scheel, Mark A., Buchman, Luisa T., Pfeiffer, Harald P.
New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from entering the...
The initial value problem in numerical relativity (2004)
The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich...
Excision boundary conditions for black-hole initial data (2004)
Cook, Gregory B., Pfeiffer, Harald P.
We define and extensively test a set of boundary conditions that can be applied at black-hole excision surfaces when the Hamiltonian and momentum constraints of general relativity are solved within...
Optimal constraint projection for hyperbolic evolution systems (2004)
Holst, Michael, Lindblom, Lee, Owen, Robert, Pfeiffer, Harald P., Scheel, Mark A., Kidder, Lawrence E.
Techniques are developed for projecting the solutions of symmetric-hyperbolic evolution systems onto the constraint submanifold (the constraint-satisfying subset of the dynamical field space). These...
Initial data for Einstein's equations with superposed gravitational waves (2004)
Pfeiffer, Harald P., Kidder, Lawrence E., Scheel, Mark A., Shoemaker, Deirdre
A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. The method combines...
Excision boundary conditions for black hole initial data (2004)
Cook, Gregory B., Pfeiffer, Harald P.
We define and extensively test a set of boundary conditions that can be applied at black hole excision surfaces when the Hamiltonian and momentum constraints of general relativity are solved within...
Optimal Constraint Projection for Hyperbolic Evolution Systems (2004)
Holst, Michael, Lindblom, Lee, Owen, Robert, Pfeiffer, Harald P., Scheel, Mark A., Kidder, Lawrence E.
Techniques are developed for projecting the solutions of symmetric hyperbolic evolution systems onto the constraint submanifold (the constraint-satisfying subset of the dynamical field space). These...
Controlling the growth of constraints in hyperbolic evolution systems (2004)
Lindblom, Lee, Scheel, Mark A., Kidder, Lawrence E., Pfeiffer, Harald P., Shoemaker, Deirdre, Teukolsky, Saul A.
Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for controlling this growth...
3D simulations of linearized scalar fields in Kerr spacetime (2004)
Scheel, Mark A., Erickcek, Adrienne L., Burko, Lior M., Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a (3+1)-dimensional spectral evolution code, and we measure the power-law tail...
Controlling the Growth of Constraints in Hyperbolic Evolution Systems (2004)
Lindblom, Lee, Scheel, Mark A., Kidder, Lawrence E., Pfeiffer, Harald P., Shoemaker, Deirdre, Teukolsky, Saul A.
Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for controlling this growth...
Warping and Precession of Accretion Disks Around Magnetic Stars: Nonlinear Evolution (2003)
Pfeiffer, Harald P., Lai, Dong
The inner region of the accretion disk around a magnetized star (T Tauri star, white dwarf or neutron star) is subjected to magnetic torques that induce warping and precession of the disk. These...
3D simulations of linearized scalar fields in Kerr spacetime (2003)
Scheel, Mark A., Erickcek, Adrienne L., Burko, Lior M., Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a 3+1 dimensional spectral evolution code, and we measure the power-law tail decay...
Toward stable 3D numerical evolutions of black-hole spacetimes (2002)
Scheel, Mark A., Kidder, Lawrence E., Lindblom, Lee, Pfeiffer, Harald P., Teukolsky, Saul A.
Three dimensional (3D) numerical evolutions of static black holes with excision are presented. These evolutions extend to about 8000M, where M is the mass of the black hole. This degree of stability...
Toward stable 3D numerical evolutions of black-hole spacetimes (2002)
Scheel, Mark A., Kidder, Lawrence E., Lindblom, Lee, Pfeiffer, Harald P., Teukolsky, Saul A.
Three dimensional (3D) numerical evolutions of static black holes with excision are presented. These evolutions extend to about 8000M, where M is the mass of the black hole. This degree of stability...
Extrinsic Curvature and the Einstein Constraints (2002)
Pfeiffer, Harald P., York, James W.
The Einstein initial-value equations in the extrinsic curvature (Hamiltonian) representation and conformal thin sandwich (Lagrangian) representation are brought into complete conformity by the use of...
Comparing initial-data sets for binary black holes (2002)
Pfeiffer, Harald P., Cook, Gregory B., Teukolsky, Saul A.
We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the...
A multidomain spectral method for solving elliptic equations (2002)
Pfeiffer, Harald P., Kidder, Lawrence E., Scheel, Mark A., Teukolsky, Saul A.
We present a new solver for coupled nonlinear elliptic partial differential equations (PDEs). The solver is based on pseudo-spectral collocation with domain decomposition and can handle one- to...
Quasi-circular Orbits for Spinning Binary Black Holes (2000)
Pfeiffer, Harald P., Teukolsky, Saul A., Cook, Gregory B.
Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit...