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arXiv · 1510.02804

Numerical Methods for Finding Stationary Gravitational Solutions

Oscar J. C. Dias·Jorge E. Santos·Benson Way
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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$_5\times S^5$. We also include several tools and tricks that have been useful throughout the literature.

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Oscar J. C. Dias, Jorge E. Santos, Benson Way. 2015-10-09. Numerical Methods for Finding Stationary Gravitational Solutions. https://doi.org/10.1088/0264-9381%2F33%2F13%2F133001

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