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Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation

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arxiv 1705.09875 v4 pith:YIYS6PS2 submitted 2017-05-27 gr-qc astro-ph.HEhep-th

Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation

classification gr-qc astro-ph.HEhep-th
keywords gravityanalyticalblackderivativehigherholesolutioneinstein
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Higher derivative extensions of Einstein gravity are important within the string theory approach to gravity and as alternative and effective theories of gravity. H. L\"u, A. Perkins, C. Pope, K. Stelle [Phys.Rev.Lett. 114 (2015), 171601] found a numerical solution describing a spherically symmetric non-Schwarzschild asymptotically flat black hole in the Einstein gravity with added higher derivative terms. Using the general and quickly convergent parametrization in terms of the continued fractions, we represent this numerical solution in the analytical form, which is accurate not only near the event horizon or far from black hole, but in the whole space. Thereby, the obtained analytical form of the metric allows one to study easily all the further properties of the black hole, such as thermodynamics, Hawking radiation, particle motion, accretion, perturbations, stability, quasinormal spectrum, etc. Thus, the found analytical approximate representation can serve in the same way as an exact solution.

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Cited by 5 Pith papers

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