Obtaining analytical approximations to black hole solutions in higher-derivative gravity using the homotopy analysis method
Department of Mathematics, Faculty of Science, University of Malta, MSD2080, Msida, Malta
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Accepted: 29 December 2018
Published online: 19 March 2019
The Homotopy Analysis Method (HAM) is considered as a very useful method for obtaining analytical approximate solutions to various nonlinear differential equations arising in many different areas of science and engineering. Despite this, it is seldom used to obtain solutions in General Relativity and particularly higher order theories of gravity, where due to the complexity and nonlinearity of the field equations, most of the known solutions are numerical. We consider the case of a non-Schwarzschild static and spherically symmetric black hole solution in higher derivative gravity that has been studied recently. We obtain an analytical approximation using HAM and compare it with the numerical solution.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019