Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
By P. Chesler, Laurence G. Yaffe. 2013
268 citations recorded by the source corpus.
A bstractA variety of gravitational dynamics problems in asymptotically anti-de Sitter (AdS) spacetime are amenable to efficient numerical solution using a common approach involving a null slicing of spacetime based on infalling geodesics, convenient exploitation of the residual diffeomorphism freedom, and use of spectral methods for discretizing and solving the resulting differential equations. Relevant issues and choices leading to this approach are discussed in detail. Three examples, motivated by applications to non-equilibrium dynamics in strongly coupled gauge theories, are discussed as instructive test cases. These are gravitational descriptions of homogeneous isotropization, collisions of planar shocks, and turbulent fluid flows in two spatial dimensions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/50c1917e820f98c5a80c854d8faf0c72789ffe5b
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Citations in the corpus
- Holographic Quantum Matter (2016, methodology): “The numerical methods necessary to study such dynamical problems are reviewed in [139].”
- Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments (2016, unknown): “[135– 137].”
- Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, background): “Some great reviews on numerics in gravity are [23–25].”
- Numerical methods for finding stationary gravitational solutions (2015, background): “[3] P.”
- GRChombo: Numerical relativity with adaptive mesh refinement (2015, methodology): “In AdS, the code of [70] is based on PAMR/AMRD, while [9] uses a fixed domain decomposition and pseudospectral discretization.”