Numerical methods for finding stationary gravitational solutions
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Dias, OJC
Santos, JE
Way, B
Abstract
The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled the search for new stationary solutions of the Einstein equation (possibly coupled to matter). In this topical review, we explain the mathematical foundations and give a practical guide for the numerical solution of gravitational boundary value problems. We present these methods by way of example: resolving asymptotically flat black rings, singly spinning lumpy black holes in anti-de Sitter (AdS), and the Gregory-Laflamme zero modes of small rotating black holes in AdS. We also include several tools and tricks that have been useful throughout the literature.
Description
Keywords
holography, numerical relativity, black holes
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
33
Publisher
IOP Publishing
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/J005673/1)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/M007065/1)
European Research Council (247252)
European Research Council (279363)
Science and Technology Facilities Council (ST/J005673/1)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/M007065/1)
European Research Council (247252)
European Research Council (279363)