Results 11 to 20 of about 93,562 (275)
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
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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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Numerical relativity and compact binaries [PDF]
Physics Reports, 2003 122 pages, 19 figures; review article to appear in Physics ...
Thomas W Baumgarte
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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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A Radiation Scalar for Numerical Relativity [PDF]
Physical Review Letters, 2002 This letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can be said unambiguously to contain no gravitational ...
A. Ashtekar +8 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 +18 more
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Numerical Hydrodynamics in General Relativity
Living Reviews in Relativity, 2003 The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends ...
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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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
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Numerical Hydrodynamics and Magnetohydrodynamics in General Relativity
Living Reviews in Relativity, 2008 This article presents a comprehensive overview of numerical hydrodynamics and magnetohydrodynamics (MHD) in general relativity. Some significant additions have been incorporated with respect to the previous two versions of this review (2000, 2003), most ...
Font José A.
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