Literature DB >> 28191833

Hyperbolic Methods for Einstein's Equations.

Oscar A Reula1.   

Abstract

I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails. I look at several approaches to obtaining symmetric hyperbolic systems of equations out of Einstein' equations by either removing some gauge freedoms from them, or by considering certain linear combinations of a subset of them.

Entities:  

Year:  1998        PMID: 28191833      PMCID: PMC5253804          DOI: 10.12942/lrr-1998-3

Source DB:  PubMed          Journal:  Living Rev Relativ        ISSN: 1433-8351            Impact factor:   40.429


  7 in total

1.  Nonlinear wave equations for relativity.

Authors: 
Journal:  Phys Rev D Part Fields       Date:  1996-03-15

2.  New formalism for numerical relativity.

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Journal:  Phys Rev Lett       Date:  1995-07-24       Impact factor: 9.161

3.  First-order symmetric hyperbolic Einstein equations with arbitrary fixed gauge.

Authors: 
Journal:  Phys Rev Lett       Date:  1996-06-17       Impact factor: 9.161

4.  Numerical black holes: A moving grid approach.

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Journal:  Phys Rev D Part Fields       Date:  1995-02-15

5.  Einstein and Yang-Mills theories in hyperbolic form without gauge fixing.

Authors: 
Journal:  Phys Rev Lett       Date:  1995-11-06       Impact factor: 9.161

6.  Hyperbolic evolution system for numerical relativity.

Authors: 
Journal:  Phys Rev Lett       Date:  1992-02-24       Impact factor: 9.161

7.  New Hamiltonian formulation of general relativity.

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Journal:  Phys Rev D Part Fields       Date:  1987-09-15
  7 in total
  2 in total

Review 1.  Exploring New Physics Frontiers Through Numerical Relativity.

Authors:  Vitor Cardoso; Leonardo Gualtieri; Carlos Herdeiro; Ulrich Sperhake
Journal:  Living Rev Relativ       Date:  2015-09-21       Impact factor: 40.429

Review 2.  Extraction of gravitational waves in numerical relativity.

Authors:  Nigel T Bishop; Luciano Rezzolla
Journal:  Living Rev Relativ       Date:  2016-10-04       Impact factor: 40.429

  2 in total

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