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Exploring New Physics Frontiers Through Numerical Relativity [PDF]

Living Reviews in Relativity, 2015
The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein’s equations – along with some spectacular results – in various setups.
Vitor Cardoso, Leonardo Gualtieri, Carlos A R Herdeiro   +2 more
exaly   +6 more sources

Spectral Methods for Numerical Relativity [PDF]

Living Reviews in Relativity, 2009
Equations arising in general relativity are usually too complicated to be solved analytically and one must rely on numerical methods to solve sets of coupled partial differential equations. Among the possible choices, this paper focuses on a class called
Philippe Grandclément, Jerome Novak
exaly   +8 more sources

Initial Data for Numerical Relativity [PDF]

Living Reviews in Relativity, 2000
Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data.
Cook Greg
doaj   +9 more sources

Numerical Hydrodynamics in Special Relativity [PDF]

Living Reviews in Relativity, 1999
This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing ...
Martí Jose Maria, Müller Ewald
doaj   +12 more sources

Event and Apparent Horizon Finders for 3 + 1 Numerical Relativity [PDF]

Living Reviews in Relativity, 2007
Event and apparent horizons are key diagnostics for the presence and properties of black holes. In this article I review numerical algorithms and codes for finding event and apparent horizons in numerically-computed spacetimes, focusing on calculations ...
Thornburg Jonathan
exaly   +4 more sources

Numerical relativity simulation of GW150914 beyond general relativity [PDF]

, 2020
We produce the first astrophysically-relevant numerical binary black hole gravitational waveform in a higher-curvature theory of gravity beyond general relativity.
Moxon, Jordan, Okounkova, Maria, Scheel, Mark A., Stein, Leo C., Teukolsky, Saul A.   +4 more
core   +4 more sources

On the relation between mathematical and numerical relativity [PDF]

, 2006
The large scale binary black hole effort in numerical relativity has led to an increasing distinction between numerical and mathematical relativity. This note discusses this situation and gives some examples of succesful interactions between numerical ...
Andersson L, Ashtekar A, Berger B K, Berger B K, Bizoń P, Bizoń P, Chitre D M, Choptuik M W, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y Moncrief V, Christodoulou D, Christodoulou D, Dafermos M Rodnianski I, Damour T, Gundlach C, Hobill D, Isenberg J, Kichenassamy S, Klainerman S, Klainerman S, Klainerman S, Lakatos I, Lanford O E, Lars Andersson, Mandelbrot B, Misner C W, Rendall A D, Rendall A D, Rendall A D, Ringström H, Ringström H, Rodnianski I Sterbenz J, Schnetter E Krishnan B Beyer F, Tao T, Wainwright J   +36 more
core   +6 more sources

From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity [PDF]

, 2008
This article reviews some aspects in the current relationship between mathematical and numerical General Relativity. Focus is placed on the description of isolated systems, with a particular emphasis on recent developments in the study of black holes ...
Aksoylu B Bernstein D Bond S Holst M, Alvi K, Andersson L, Andersson L, Andersson L, Andersson L, Andersson L Mars M Simon W, Andersson L Metzger J, Andersson L Metzger J, Andersson N, Andréasson H, Andréasson H, Ansorg M, Ansorg M, Ansorg M, Arnowitt R, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A, Babiuc M, Babiuc M, Baker J G, Bartnik R, Bartnik R, Bary H, Beig R, Beig R, Berger B K, Bergmann P, Beyer F, Bishop N T, Bishop N T, Bizon P, Bičák J, Bičák J, Blanchet L, Bona C, Bona C Alic D, Booth I, Booth I, Booth I, Booth I Fairhurst S, Bray H, Brown J, Brügmann B González J A Hannam M Husa S Sperhake U Tichy W, Buchman L T, Buchman L T, Calabrese G, Campanelli M, Campanelli M Lousto C O Zlochower Y, Carrasco A, Cartan E, Chiba T, Choptuik M W, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y, Choquet-Bruhat Y York J W, Choquet-Bruhat Y York J W, Christodoulou D, Chruściel P T, Chruściel P T, Chruściel P T, Chruściel P T, Chruściel P T, Claudel C-M, Cook G B, Corvino J, Dafermos M, Dafermos M, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Dain S, Damour T, Damour T Ruffini R, Darmois G, Dirac P A M, Donder T D, Ellis G F R, Ellis G F R, Eric Gourgoulhon, Evans C R, Evans C R, Fock V A, Font J A, Frauendiener J, Frauendiener J, Frauendiener J, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Garfinkle D, Gentle A P, Geroch R, Gibbons G, Gibbons G, Gibbons G W, Gibbons G W, Gibbons G W, Giulini D, Giulini D, Gourgoulhon E, Gourgoulhon E, Gourgoulhon E Jaramillo J L (organisers), Grandclément P, Gundlach C, Gundlach C Martín-García J M, Hannam M, Hannam M, Hawking S W, Hayward S A, Hennig J Ansorg M, Herrmann F, Heusler M, Huisken G, Hájiček P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P Weaver M, Ionescu A D Klainerman S, Ionescu A D Klainerman S, Isenberg J, Isenberg J, Isenberg J A, Isenberg J A, Israel W, Israel W, Jaramillo J L Vasset N Ansorg M, José Luis Jaramillo, Juan Antonio Valiente Kroon, Karkowski J, Karkowski J, Karkowski J, Karkowski J, Klainerman S, Klainerman S, Klainerman S, Kokkotas K D, Korobkin O Aksoylu B Holst M Pazos E Tiglio M, Korzynski M, Kreiss H-O, Kreiss H-O, Krishnan B, Lehner L, Lehner L, Lewandowski J, Lichnerowicz A, Lichnerowicz A, Lin L-M, Lindblad H Rodnianski I, Lindblom L, Lindblom L Matthews K D Rinne O Scheel M A, Malec E, Malec E, Malec E, Malec E, Mars M, Mars M, Mars M, Mars M, Martí J M, Martín-García J M, Metzger J, Metzger J, Misner C W, Moncrief V, Nielsen A B, Nielsen A B Yoon J H, Penrose R, Penrose R, Penrose R, Penrose R, Petroff D Ansorg M, Poisson E, Pretorius F, Pretorius F, Pretorius F, Price R H, Racz I, Reisswig C, Rendall A D, Rendall A D, Reula O A, Reula O A, Richter R, Rinne O, Rinne O, Rinne O, Rinne O, Rinne O, Ruiz M, Sarbach O, Seiler J Szilágyi B Pollney D Rezzolla L, Senovilla J M M, Senovilla J M M, Senovilla J M M, Shinkai H Yoneda G, Smith B, Sopuerta C F, Sperhake U, Stephani H, Stewart J M, Szabados L B, Szabados L B, Szabados L B, Szilagyi B, Sánchez M, Thiemann T, Thornburg J, Thornburg J, Thornburg J, Thorne K, Thorne K, Valiente Kroon J A, Valiente Kroon J A, Valiente Kroon J A, Valiente Kroon J A, Wald R M, Wald R M, Walsh D, Wheeler J, Whelan J T, Whelan J T, Williams C, Wilson J, Winicour J, York J W, Yoshida S, Zenginoğlu A, Zenginoğlu A, Zenginoğlu A, Åman J   +249 more
core   +4 more sources

Numerical Hydrodynamics in Special Relativity

Living Reviews in Relativity, 2003
This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing ...
Martí José Maria, Müller Ewald
exaly   +2 more sources

Extraction of gravitational waves in numerical relativity [PDF]

Living Reviews in Relativity, 2016
Nigel T Bishop, Luciano Rezzolla
exaly   +2 more sources