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

Analytical approximations to charged black hole solutions in Einstein-Maxwell-Weyl gravity