Numerical methods for finding stationary gravitational solutions

By Ó. J. Dias, Jorge E Santos, Benson Way. 2015

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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 × S 5 . We also include several tools and tricks that have been useful throughout the literature.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/79b09eb0b5513438fa1a1382002dc6919faf1d91

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Citations in the corpus

Constraining the mass of dark photons and axion-like particles through black-hole superradiance (2018, background): “(8)For a detailed and systematic discussion of regularity of perturbations and associated boundary conditions, the reader is invited to see the discussions in [55, 56] and in the review [53].”
Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, background): “This can be used to look for new solutions as the end point of such instabilities, see e.g. [24].”
Entanglement islands in higher dimensions (2019, methodology): “See [24] for a review of such methods applied in the”