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Introduction to Numerical Relativity [PDF]

Frontiers in Astronomy and Space Sciences, 2020
Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no other ...
Carlos Palenzuela
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Vistas in numerical relativity [PDF]

Black Hole Astrophysics 2002, 2002
Upcoming gravitational wave-experiments promise a window for discovering new physics in astronomy. Detection sensitivity of the broadband laser interferometric detectors LIGO/VIRGO may be enhanced by matched filtering with accurate wave-form templates ...
van Putten, Maurice H. P. M.
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Numerical Relativity: A review [PDF]

Classical and Quantum Gravity, 2001
Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field ...
, , , , , Alcubierre M, Alcubierre M, Alcubierre M, Alcubierre M, Alcubierre M, Anninos P, Armitage P J, Arnold D, Ashtekar A, Baker J, Baker J, Balakrishna J, Balakrishna J, Balakrishna J, Balay S, Bardeen J, Bardeen J, Bartnik R, Bartnik R A, Baumgarte T W, Belinski V, Belinski V, Berger B, Bishop N, Bishop N, Bishop N T, Bishop N T, Bishop N T, Bonazzola S, Boyd J, Brandt S, Brandt S, Brewin L, Bruhat Y, Calabrese G, Campanelli M, Canuto C, Celotti A, Choptuik M, Choquet-Bruhat Y, Christodoulou D, Cook G, Courant R, d'Inverno R A, Dain S, Diener P, Diener P, Duez M D, Duez M D, Eardley D M, Eulderink F, Ferrari V, Font J A, Frauendiener J, Frauendiener J, Friedrich H, Friedrich H, Garfinkle D, Garfinkle D, Garfinkle D, Gentle A, Gentle A P, Gentle A P, Geroch R, Geroch R, Gnedin M, Godunov S K, Gomez R, Gomez R, Gomez R, Gourgoulhon E, Gundlach C, Gundlach C, Gundlach C, Gustaffson B, Gustaffson B, Hamade R, Hawking S W, Hawley J, Honda E, Horowitz G T, Huebner P, Huebner P, Huebner P, Huebner P, Huebner P, Huq M F, Husain V, Husain V, Iriondo M S, John F, Kelly B, Kichenassamy S, Kidder L E, Kokkotas K D, Kokkotas K D, Komatsu H, Kreiss H, Landry W, Lehner L, Lehner L, Lichnerowicz A, Luis Lehner, Madden R, Madden R, Marsa R, Marti J M, Matzner R, Miller M, Miller M, Miller M, Misner C, Neilsen D W, Norman M, Oliger J, Papadopoulos P, Piran T, Press W, Pretorius F, Quarteroni A, Rasio F A, Rees M, Rees M, Rendall A, Reula O A, Ruffert M, Ruoff J, Sandford M C W, Schmidt B, Schmidt B, Schutz B F, Shapiro S, Shapiro S, Shapiro S L, Shapiro S L, Shibata M, Shibata M, Shinkai H, Shinkai H, Siebel F, Smarr L, Stergioulas N, Stergioulas N, Stewart J M, Teukolsky S, Thomas J, Thomas J, Thornburg J, Thornburg J, Thorne K, Thorne K, Tiglio M, Tod K P, Tsubomo K, Unruh W, Wald R, Wald R, Wilson J, Wilson J, Winicour J, York J, Zwart S   +166 more
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New Formalism for Numerical Relativity [PDF]

Physical Review Letters, 1995
We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time slicing conditions, including maximal slicing, making it ...
A. E. Fischer, C. Bona, C. Bona, C. Bona, C. Bona, C. Bona, C. Bona, Carles Bona, D. H. Bernstein, E. Seidel, Edward Seidel, J. W. York, Joan Massó, Joan Stela, L. Smarr, P. Anninos, P. D. Lax, R. Arnowitt, R. J. Leveque   +18 more
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The status of numerical relativity [PDF]

General Relativity and Gravitation, 2004
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 field, from the well posedness of the Cauchy problem ...
Alcubierre, Miguel
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Numerical Hydrodynamics in General Relativity [PDF]

Living Reviews in Relativity, 2000
The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. Different formulations of the equations are presented, with special mention of conservative and hyperbolic formulations well-adapted to ...
Font José A.
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Approximate Black Holes for Numerical Relativity [PDF]

Physical Review D, 1996
Spherically symmetric solutions in Brans-Dicke theory of relativity with zero coupling constant, $\omega=0$, are derived in the Schwarzschild line-element. The solutions are obtained from a cubic transition equation with one small parameter. The exterior
van Putten, Maurice H. P. M.
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Cosmology using numerical relativity

Living Reviews in Relativity
This review is an up-to-date account of the use of numerical relativity to study dynamical, strong-gravity environments in a cosmological context. First, we provide a gentle introduction into the use of numerical relativity in solving cosmological ...
Josu C. Aurrekoetxea, Katy Clough, Eugene A. Lim   +2 more
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Numerical Relativity Injection Infrastructure

, 2017
This document describes the new Numerical Relativity (NR) injection infrastructure in the LIGO Algorithms Library (LAL), which henceforth allows for the usage of NR waveforms as a discrete waveform approximant in LAL.
Harry, Ian W., Pfeiffer, Harald P., Schmidt, Patricia   +2 more
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Isolated and Dynamical Horizons and Their Applications [PDF]

Living Reviews in Relativity, 2004
Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology.
Ashtekar Abhay, Krishnan Badri
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