Numerical methods for finding stationary gravitational solutions
Numerical methods for finding stationary gravitational solutions
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 AdS5 × S5. We also include several tools and tricks that have been useful throughout the literature.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Way, Benson
1e1e0adb-944f-4f8c-86b2-deea894e99b4
15 June 2016
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Way, Benson
1e1e0adb-944f-4f8c-86b2-deea894e99b4
Dias, Oscar J.C., Santos, Jorge E. and Way, Benson
(2016)
Numerical methods for finding stationary gravitational solutions.
Classical and Quantum Gravity, 33 (13), [133001].
(doi:10.1088/0264-9381/33/13/133001).
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 AdS5 × S5. We also include several tools and tricks that have been useful throughout the literature.
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Accepted/In Press date: 5 May 2016
e-pub ahead of print date: 15 June 2016
Published date: 15 June 2016
Organisations:
Applied Mathematics
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Local EPrints ID: 399911
URI: http://eprints.soton.ac.uk/id/eprint/399911
ISSN: 0264-9381
PURE UUID: a8f570c0-8fbb-4066-8048-1fdcefe2c69f
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Date deposited: 05 Sep 2016 08:46
Last modified: 15 Mar 2024 05:52
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Author:
Jorge E. Santos
Author:
Benson Way
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