A new metric for rotating black holes in Gauss-Bonnet gravity
Rui-Hong Yue, De-Cheng Zou, Tian-Yi Yu, Zhan-Ying Yang

TL;DR
This paper introduces a new metric for slowly rotating black holes in five-dimensional Gauss-Bonnet gravity, providing solutions up to second order in angular momentum and extending the method to higher Lovelock gravities.
Contribution
It presents a novel metric for slowly rotating black holes in Gauss-Bonnet gravity and demonstrates its applicability to higher order Lovelock theories.
Findings
Derived black hole solutions up to second order in angular momentum.
Validated the method's applicability to higher order Lovelock gravity.
Provided insights into the structure of rotating black holes in modified gravity theories.
Abstract
This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter up to second order, the slowly rotating black hole solutions are obtained by working directly in the action. In addition, it also finds that this method is applicable in higher order Lovelock gravity.
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