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...
Spinning down newborn neutron stars: nonlinear development of the r-mode instability (2008)
Bondarescu, Ruxandra, Teukolsky, Saul A., Wasserman, Ira
We model the nonlinear saturation of the r-mode instability via three-mode couplings and the effects of the instability on the spin evolution of young neutron stars. We include one mode triplet...
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...
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...
Hot, Rotating Disks In General Relativity: Collisionless Equilibrium Models (2007)
Katrin Schenk, Saul A. Teukolsky
We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the...
Numerical Recipes: Does This Paradigm Have a Future? (2007)
William H. Press, Saul A. Teukolsky
this article. Just as the "central dogma" of the mathematical software community turned most program libraries of the 1970s and 80s into black boxes with defined interfaces, there is a...
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...
Spin Evolution of Accreting Neutron Stars: Nonlinear Development of the R-mode Instability (2007)
Bondarescu, Ruxandra, Teukolsky, Saul A., Wasserman, Ira
The nonlinear saturation of the r-mode instability and its effects on the spin evolution of Low Mass X-ray Binaries (LMXBs) are modeled using the triplet of modes at the lowest parametric instability...
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...
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...
Perturbations of a rotating black hole (2006)
Decoupled, separable equations describing perturbations of a Kerr black hole are derived. These equations can be used to study black-hole processes involving scalar, electromagnetic, neutrino or...
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...
Tribute (#11) to Hans Bethe by Saul A. Teukolsky from Celebrating "An Exemplary Life" (2005)
This is the tribute to Hans Bethe by Prof. Saul A. Teukolsky, Physics Department Chair, Cornell University, given on September 18, 2005 at the Statler Auditorium at Cornell University.
Tribute (#11) to Hans Bethe by Saul A. Teukolsky from Celebrating "An Exemplary Life" (2005)
This is the tribute to Hans Bethe by Prof. Saul A. Teukolsky, Physics Department Chair, Cornell University, given on September 18, 2005 at the Statler Auditorium at Cornell University.
Brink, Jeandrew, Teukolsky, Saul A., Wasserman, Ira
Two mechanisms for nonlinear mode saturation of the r-mode in neutron stars have been suggested: the parametric instability mechanism involving a small number of modes and the formation of a nearly...
Brink, Jeandrew, Teukolsky, Saul A., Wasserman, Ira
R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode-mode coupling....
Brink, Jeandrew, Teukolsky, Saul A, Wasserman, Ira
Non-linear interactions among the inertial modes of a rotating fluid can be described by a network of coupled oscillators. We use such a description for an incompressible fluid to study the...
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...
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...
Saturation of the R-mode Instability (2002)
Arras, Phil, Flanagan, Eanna E., Morsink, Sharon M., Schenk, A. Katrin, Teukolsky, Saul A., Wasserman, Ira
Rossby waves (r-modes) in rapidly rotating neutron stars are unstable because of the emission of gravitational radiation. We study saturation of this instability by nonlinear transfer of energy to...
Numerical recipes in C++: The art of scientific computing (2002)
PRESS, William H., FLANNERY, Brian P., TEUKOLSKY, Saul A., VETTERLING, William T.
Numerical Recipes - Code CDRom v 2.10 with Windows, DOS, or Macintosh (2002)
PRESS, William H., TEUKOLSKY, Saul A., VETTERLING, William T., FLANNERY, Brian P.
Numerical Recipes in C++ - The Art of Scientific Computing - Second Edition (2002)
PRESS, William H., TEUKOLSKY, Saul A., VETTERLING, William T., FLANNERY, Brian P.
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...
Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars (2001)
Schenk, A. Katrin, Arras, Phil, Flanagan, Eanna E., Teukolsky, Saul A., Wasserman, Ira
We develop the formalism required to study the nonlinear interaction of modes in rotating Newtonian stars in the weakly nonlinear regime. The formalism simplifies and extends previous treatments. At...
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...
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...
An Efficient Method for Fully Relativistic Simulations of Coalescing Binary Neutron Stars (1999)
Landry, Walter, Teukolsky, Saul A.
The merger of two neutron stars has been proposed as a source of gamma-ray bursts, r-process elements, and detectable gravitational waves. Extracting information from observations of these phenomena...
On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity (1999)
The iterated Crank-Nicholson method has become a popular algorithm in numerical relativity. We show that one should carry out exactly two iterations and no more. While the limit of an infinite number...
Horowitz, Gary T., Teukolsky, Saul A.
Black holes are among the most intriguing objects in modern physics. Their influence ranges from powering quasars and other active galactic nuclei, to providing key insights into quantum gravity. We...
Treating instabilities in a hyperbolic formulation of Einstein's equations (1998)
Scheel, Mark A., Baumgarte, Thomas W., Cook, Gregory B., Shapiro, Stuart L., Teukolsky, Saul A.
We have recently constructed a numerical code that evolves a spherically symmetric spacetime using a hyperbolic formulation of Einstein's equations. For the case of a Schwarzschild black hole, this...
Irrotational Binary Neutron Stars in Quasiequilibrium in General Relativity (1998)
Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat...
Hot, Rotating Disks In General Relativity: Collisionless Equilibrium Models (1998)
Schenk, A. Katrin, Shapiro, Stuart L., Teukolsky, Saul A.
We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the...
Numerical Evolution of Black Holes with a Hyperbolic Formulation of General Relativity (1997)
Scheel, Mark A., Baumgarte, Thomas W., Cook, Gregory B., Shapiro, Stuart L., Teukolsky, Saul A.
We describe a numerical code that solves Einstein's equations for a Schwarzschild black hole in spherical symmetry, using a hyperbolic formulation introduced by Choquet-Bruhat and York. This is the...
Binary Neutron Stars in Quasi-Equilibrium Circular Orbit: A Fully Relativistic Treatment (1997)
Baumgarte, Thomas W., Shapiro, Stuart L., Cook, Gregory B., Scheel, Mark A., Teukolsky, Saul A.
We present a numerical scheme that solves the initial value problem in full general relativity for a binary neutron star in quasi-equilibrium. While Newtonian gravity allows for a strict equilibrium,...
Implementing an apparent-horizon finder in three dimensions (1996)
Baumgarte, Thomas W., Cook, Gregory B., Scheel, Mark A., Shapiro, Stuart L., Teukolsky, Saul A.
Locating apparent horizons is not only important for a complete understanding of numerically generated spacetimes, but it may also be a crucial component of the technique for evolving black-hole...
Testing a Simplified Version of Einstein's Equations for Numerical Relativity (1995)
Cook, Gregory B., Shapiro, Stuart L., Teukolsky, Saul A.
Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, like binary...
Scheel, Mark A., Shapiro, Stuart L., Teukolsky, Saul A.
We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in...
Collapse to Black Holes in Brans-Dicke Theory: II. Comparison with General Relativity (1994)
Scheel, Mark A., Shapiro, Stuart L., Teukolsky, Saul A.
We discuss a number of long-standing theoretical questions about collapse to black holes in the Brans-Dicke theory of gravitation. Using a new numerical code, we show that Oppenheimer-Snyder collapse...
Abrahams, Andrew M., Shapiro, Stuart L., Teukolsky, Saul A.
Many simulations of gravitational collapse to black holes become inaccurate before the total emitted gravitational radiation can be determined. The main difficulty is that a significant component of...
Disk collapse in general relativity (1994)
Abrahams, Andrew M., Shapiro, Stuart L., Teukolsky, Saul A.
The radial collapse of a homogeneous disk of collisionless particles can be solved analytically in Newtonian gravitation. To solve the problem in general relativity, however, requires the full...
Numerical recipes in C: The art of scientific computing (1994)
PRESS, William H., FLANNERY, Brian P., TEUKOLSKY, Saul A., VETTERLING, William T.
Numerical recipes: Example Book (C) (1992)
VETTERLING, William T., TEUKOLSKY, Saul A., PRESS, William H., FLANNERY, Brian P.
Numerical recipes: Example book (Fortran) (1992)
VETTERLING, William T., TEUKOLSKY, Saul A., PRESS, William H., FLANNERY, Brian P.
Numerical recipes in Fortran: the art of scientific computing (1992)
VETTERLING, William T., TEUKOLSKY, Saul A., PRESS, William H., FLANNERY, Brian P.
Numerical Recipes in C: The Art of Scientific Computing. Second Edition (1992)
William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery
This reprinting is corrected to software version 2.10
Numerical recipes: Example Book (C) (1988)
VETTERLING, William T., TEUKOLSKY, Saul A., PRESS, William H., FLANNERY, Brian P.
Perturbations of a rotating black hole (1973)
Decoupled, separable equations describing perturbations of a Kerr black hole are derived. These equations can be used to study black-hole processes involving scalar, electromagnetic, neutrino or...