Kerr-Gauss-Bonnet Black Holes: An Analytical Approximation
S. Alexeyev, N. Popov, M. Startseva, A. Barrau, J. Grain
TL;DR
This paper derives an analytical approximation for five-dimensional Kerr-Gauss-Bonnet black holes, extending known solutions to include rotation in Gauss-Bonnet gravity, and discusses their thermodynamics.
Contribution
It presents the first analytical approximation for rotating black holes in five-dimensional Gauss-Bonnet gravity, filling a gap in existing solutions.
Findings
Derived the Kerr-Gauss-Bonnet metric approximation.
Outlined thermodynamical properties of the solution.
Extended understanding of black holes in higher-curvature gravity.
Abstract
Gauss-Bonnet gravity provides one of the most promising frameworks to study curvature corrections to the Einstein action in supersymmetric string theories, while avoiding ghosts and keeping second order field equations. Although Schwarzschild-type solutions for Gauss-Bonnet black holes have been known for long, the Kerr-Gauss-Bonnet metric is missing. In this paper, a five dimensional Gauss-Bonnet approximation is analytically derived for spinning black holes and the related thermodynamical properties are briefly outlined.
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