Analytically Approximation Solution to Higher Derivative Gravity

Abstract

We obtain analytical approximate black hole solutions for higher derivative gravity in the presence of Maxwell electromagnetic source. We construct near horizon and asymptotic solutions and then use these to obtain an approximate analytic solution using a continued fraction method to get a complete solution. We compute the thermodynamic quantities and check the first law and Smarr formula. Finally, we investigate the null and time-like geodesics of this black hole.

17 pages, 47 figures, Accepted in PRD

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Cited by in corpus (7)

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• Optical appearance of numerical black hole solutions in higher derivative gravity
• Astrophysical and electromagnetic emissivity properties of black holes surrounded by a quintessence type exotic fluid in the Scalar-Vector-Tensor Modified Gravity
• Black hole solutions to Einstein-Bel-Robinson gravity
• Charged Black Holes in Einsteinian Quartic Gravity
• Holographic Anisotropic Background in 5D Einstien-Gauss-Bonnet Gravity
• Analytically Approximate Black Hole Solution to Higher Curvature Gravity