Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analytical Approximations to Charged Black Hole Solutions in Einstein-Maxwell-Weyl Gravity

Version 1 : Received: 13 June 2023 / Approved: 13 June 2023 / Online: 13 June 2023 (07:25:06 CEST)

A peer-reviewed article of this Preprint also exists.

Li, S.-Y.; Zhang, M.; Zou, D.-C.; Lai, M.-Y. Analytical Approximations to Charged Black Hole Solutions in Einstein–Maxwell–Weyl Gravity. Universe 2023, 9, 371. Li, S.-Y.; Zhang, M.; Zou, D.-C.; Lai, M.-Y. Analytical Approximations to Charged Black Hole Solutions in Einstein–Maxwell–Weyl Gravity. Universe 2023, 9, 371.

Abstract

The Homotopy Analysis Method (HAM) is a useful method to derive analytical approximate solutions of black holes in modified gravity theories. In this paper, we study the Einstein-Weyl gravity coupled with Maxwell field, and obtain analytical approximation solutions for charged black holes by using the HAM. It is found that the analytical approximate solutions are sufficiently accurate in the entire spacetime outside the black hole's event horizon, and also consistent with numerical ones for charged black holes in the Einstein-Maxwell-Weyl gravity.

Keywords

Black holes; Homotopy Analysis Method; modified gravity; approximate solutions

Subject

Physical Sciences, Astronomy and Astrophysics

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