Numerical relativity: A Review
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A review of the field of numerical relativity can be found in this article, where the authors describe the techniques most commonly used and discuss open problems and (some) future prospects for numerical simulations.Abstract:
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 scenarios and been crucial in revealing unexpected phenomena. Considerable efforts are being spent to simulate astrophysically relevant simulations, understand different aspects of the theory and even provide insights into the search for a quantum theory of gravity. In this paper I review the present status of the field of numerical relativity, describe the techniques most commonly used and discuss open problems and (some) future prospects.read more
Citations
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Journal ArticleDOI
The Confrontation Between General Relativity and Experiment
TL;DR: Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, the Nordtvedt effect in lunar motion, and frame-dragging.
Journal ArticleDOI
Isolated and dynamical horizons and their applications
Abhay Ashtekar,Badri Krishnan +1 more
TL;DR: A new, quasi-local framework was introduced to analyze diverse facets of black holes in a unified manner that has introduced a more physical setting for black hole thermodynamics, suggested a phenomenological model for hairy black holes, provided novel techniques to extract physics from numerical simulations, and led to new laws governing the dynamics ofblack holes in exact general relativity.
Journal ArticleDOI
Numerical relativity using a generalized harmonic decomposition
TL;DR: A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced and a variant of the cartoon method for efficiently simulating axisymmetric spacetimes with a Cartesian code is described.
References
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Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Journal ArticleDOI
Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
Book
Spectral Methods in Fluid Dynamics
M. Y. Hussaini,Thomas A. Zang +1 more
TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.