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Numerical Relativity at UT Brownsville

Reviews

LISTENING TO THE UNIVERSE WITH GRAVITATIONAL-WAVE ASTRONOMY.
By Scott A. Hughes.   Published in Annals Phys.303:142-178,2003.
e-Print Archive: astro-ph/0210481 . Abstract, PS, PDF

NUMERICAL RELATIVITY AND COMPACT BINARIES.
By Thomas W. Baumgarte, and  Stuart L. Shapiro. Published in Phys.Rept.376:41-131,2003.
e-Print Archive: gr-qc/0211028 . Abstract, PS, PDF

Full Numerical

ON THE NUMERICAL INTEGRATION OF EINSTEIN'S FIELD EQUATIONS.
By Thomas W. Baumgarte (Illinois U., Urbana), Stuart L. Shapiro (Illinois U., Urbana, Astron. Dept.). Oct 1998. 7pp.
Published in Phys.Rev.D59:024007,1999. e-Print Archive: gr-qc/9810065. Abstract, PS, PDF
The original paper for BSSN.

GAUGE CONDITIONS FOR LONG TERM NUMERICAL BLACK HOLE EVOLUTIONS WITHOUT EXCISION.
By Miguel Alcubierre, Bernd Brugmann, Peter Diener, Michael Koppitz, Denis Pollney, Edward Seidel, Ryoji Takahashi.
Published in Phys.Rev.D67:084023,2003. e-Print Archive: gr-qc/0206072 . Abstract, PS, PDF
Standard evolutions with Cactus

Initial Data

INITIAL DATA FOR NUMERICAL RELATIVITY.
By Gregory B. Cook (Wake Forest U.). Jul 2000. 50pp.
Published in Living Rev.Rel.3:5,2000
e-Print Archive: gr-qc/0007085 . Article on line
Excellent review by one of the world's experts in the subject.

COROTATING AND IRROTATIONAL BINARY BLACK HOLES IN QUASICIRCULAR ORBITS.
By Gregory B. Cook (Wake Forest U.). Aug 2001. 13pp.
Published in Phys.Rev.D65:084003,2002
e-Print Archive: gr-qc/0108076Article
Sections II-III represent a nice, compact review of current methods.

Metric perturbations

GRAVITATIONAL FIELD OF A PARTICLE FALLING IN A SCHWARZSCHILD GEOMETRY ANALYZED IN TENSOR HARMONICS.
By F.J. Zerilli
Published in Phys.Rev.D2:2141-2160,1970. Abstract, PS, PDF
The classic paper on metric perturbations (It has several missprints though, check Carlos's notes).

HEADON COLLISIONS OF BLACK HOLES: THE PARTICLE LIMIT.
By Carlos O. Lousto, Richard H. Price
Published in Phys.Rev.D55:2124-2138,1997. e-Print Archive: gr-qc/9609012 . Abstract, PS, PDF
The headon collision of black holes from finite distances solved in the frequency-domain.

UNDERSTANDING INITIAL DATA FOR BLACK HOLE COLLISIONS.
By Carlos O. Lousto, Richard H. Price
Published in Phys.Rev.D56:6439-6457,1997. e-Print Archive: gr-qc/9705071. Abstract, PS, PDF
The headon collision of black holes from finite distances solved in the time-domain.

GRAVITATIONAL RADIATION FROM SCHWARZSCHILD BLACK HOLES: THE SECOND ORDER PERTURBATION FORMALISM.
By Reinaldo J. Gleiser, Carlos O. Nicasio, Richard H. Price, Jorge Pullin
Published in Phys.Rept.325:41-81,2000. e-Print Archive: gr-qc/9807077. Abstract, PS, PDF
A review of the close limit results.

Curvature Perturbations

PERTURBATIONS OF A ROTATING BLACK HOLE. 1. FUNDAMENTAL EQUATIONS FOR GRAVITATIONAL ELECTROMAGNETIC, AND NEUTRINO FIELD PERTURBATIONS.
By Saul A. Teukolsky
Published in Astrophys.J.185:635-647,1973
The paper on the Teukolsky equation.

SECOND ORDER GAUGE INVARIANT GRAVITATIONAL PERTURBATIONS OF A KERR BLACK HOLE.
By Manuela Campanelli, Carlos O. Lousto
Published in Phys.Rev.D59:124022,1999. e-Print Archive: gr-qc/9811019Abstract, PS, PDF

THE MATHEMATICAL
THEORY OF BLACK HOLES.
By S. Chandrasekhar
OXFORD, UK: CLARENDON (1985) 646 P. NEW YORK, USA: OXFORD UNIV. PR. (1985) 646 P. (INTERNATIONAL SERIES OF MONOGRAPHS ON PHYSICS, 69).
The only book on perturbation theory of black holes, so far.

Radiation Reaction

GRAVITATIONAL RADIATION REACTION TO A PARTICLE MOTION.
By Yasushi Mino, Misao Sasaki, Takahiro Tanaka
Published in Phys.Rev.D55:3457-3476,1997.  e-Print Archive: gr-qc/9606018 . Abstract, PS, PDF

AN AXIOMATIC APPROACH TO ELECTROMAGNETIC AND GRAVITATIONAL RADIATION REACTION OF PARTICLES IN CURVED SPACE-TIME.
By Theodore C. Quinn, Robert M. Wald
Published in Phys.Rev.D56:3381-3394,1997. e-Print Archive: gr-qc/9610053Abstract, PS, PDF

PRAGMATIC APPROACH TO GRAVITATIONAL RADIATION REACTION IN BINARY BLACK HOLES.
By Carlos O. Lousto
Published in Phys.Rev.Lett.84:5251-5254,2000. e-Print Archive: gr-qc/9912017. Abstract, PS, PDF

COMPUTING THE GRAVITATIONAL SELFFORCE ON A COMPACT OBJECT PLUNGING INTO A SCHWARZSCHILD BLACK HOLE.
By Leor Barack, Carlos O. Lousto
Published in Phys.Rev.D66:061502,2002. e-Print Archive: gr-qc/0205043. Abstract, PS, PDF

Neutron Stars 

ROTATING STARS IN RELATIVITY.
By Nikolaos Stergioulas
Published in Living Rev.Rel.1:8,1998. e-Print Archive: gr-qc/9805012 Abstract, PS, PDF
Excellent overview by an expert in the subject

ROTATING STARS IN RELATIVITY.
By Nikolaos Stergioulas. e-Print Archive: gr-qc/0302034 Abstract, PS, PDF
Updated version of the above review

Notes on the D-approximation
by Carlos Lousto, PDF

Nonradial pulsations of stellar models in general relativity
by J. Ipser and R. H. Price
Physical Review D, Volume 43, Issue 6, 15 March 1991, pp.1768-1773, Abstract, PS, PDF