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...
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...
Orbiting binary black hole evolutions with a multipatch high order finite-difference approach (2009)
Pazos, Enrique, Tiglio, Manuel, Duez, Matthew D., Kidder, Lawrence E., Teukolsky, Saul A.
We present numerical simulations of orbiting black holes for around twelve cycles, using a high-order multipatch approach. Unlike some other approaches, the computational speed scales almost...
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...
Recoil velocity at 2PN order for spinning black hole binaries (2008)
Racine, Etienne, Buonanno, Alessandra, Kidder, Lawrence E.
We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three...
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...
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...
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...
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...
Ineffectiveness of Pad\'e resummation techniques in post-Newtonian approximations (2008)
Mroué, Abdul H., Kidder, Lawrence E., Teukolsky, Saul A.
We test the resummation techniques used in developing Pad\'e and Effective One Body (EOB) waveforms for gravitational wave detection. Convergence tests show that Pad\'e approximants of the...
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...
The increasing sophistication and accuracy of numerical simulations of compact binaries (especially binary black holes) presents the opportunity to test the regime in which post-Newtonian (PN)...
Kidder, Lawrence E., Blanchet, Luc, Iyer, B.R.
Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
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...
Estimating the final spin of a binary black hole coalescence (2007)
Buonanno, Alessandra, Kidder, Lawrence E., Lehner, Luis
We present a straightforward approach for estimating the final black hole spin of a binary black hole coalescence with arbitrary initial masses and spins. Making some simple assumptions, we estimate...
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...
Radiation reaction in the 2.5PN waveform from inspiralling binaries in circular orbits (2007)
Kidder, Lawrence E., Blanchet, Luc, Iyer, Bala R.
In this Comment we compute the contributions of the radiation reaction force in the 2.5 post-Newtonian (PN) gravitational wave polarizations for compact binaries in circular orbits. (i) We point out...
Evolving relativistic fluid spacetimes using pseudospectral methods and finite differencing (2007)
Duez, Matthew D., Kidder, Lawrence E., Teukolsky, Saul A.
We present a new code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved on one grid using...
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...
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...
Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity (2006)
Boyle, Michael, Lindblom, Lee, Pfeiffer, Harald, Scheel, Mark, Kidder, Lawrence E.
The accuracy and stability of the Caltech-Cornell pseudospectral code is evaluated using the KST representation of the Einstein evolution equations. The basic "Mexico City Tests" widely adopted by...
A new generalized harmonic evolution system (2006)
Lindblom, Lee, Scheel, Mark A., Kidder, Lawrence E., Owen, Robert, Rinne, Oliver
A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate and symmetric hyperbolic. This new system uses the generalized harmonic method to...
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...
A New Generalized Harmonic Evolution System (2005)
Lindblom, Lee, Scheel, Mark A., Kidder, Lawrence E., Owen, Robert, Rinne, Oliver
A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate, and symmetric hyperbolic. This new system uses the generalized harmonic method to...
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...
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...
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...
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...
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...
Kidder, Lawrence E., Scheel, Mark A., Teukolsky, Saul A.
We present a new many-parameter family of hyperbolic representations of Einstein's equations, which we obtain by a straightforward generalization of previously known systems. We solve the resulting...
Black hole evolution by spectral methods (2000)
Kidder, Lawrence E., Scheel, Mark A., Teukolsky, Saul A., Carlson, Eric D., Cook, Gregory B.
Current methods of evolving a spacetime containing one or more black holes are plagued by instabilities that prohibit long-term evolution. Some of these instabilities may be due to the numerical...
Spectral Methods for Numerical Relativity. The Initial Data Problem (1999)
Kidder, Lawrence E., Finn, Lee Samuel
Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the...
We examine the effects of spin-orbit and spin-spin coupling on the inspiral of a coalescing binary system of spinning compact objects and on the gravitational radiation emitted therefrom. Using a...
Thesis (Ph. D.)--Washington University, 1994. Dept. of Physics.
Spin effects in the inspiral of coalescing compact binaries (1992)
Kidder, Lawrence E., Will, Clifford M., Wiseman, Alan G.
We derive the contributions of spin-orbit and spin-spin coupling to the gravitational radiation from coalescing binary systems of spinning compact objects. We calculate spin effects in the symmetric,...