Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
Name
13130_2014_Article_8532.pdf
Size
5.99 MB
Format
Adobe PDF
Checksum (MD5)
55563054117d4105ec51afe000b23f5b
Author(s)
Chesler, Paul M.
Yaffe, Laurence G.
Date Issued
July 2014
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Chesler, Paul M., and Laurence G. Yaffe. “Numerical Solution of Gravitational Dynamics in Asymptotically Anti-de Sitter Spacetimes.” Journal of High Energy Physics 2014.7 (2014): n. pag.
Version
Final published version
Abstract
A 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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP07(2014)086
