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Gauss-Bonnet gravity provides one of the most promising frameworks to studycurvature corrections to the Einstein action in supersymmetric string theories,while avoiding ghosts and keeping second order field equations. AlthoughSchwarzschild-type solutions for Gauss-Bonnet black holes have been known forlong, the Kerr-Gauss-Bonnet metric is missing. In this paper, a fivedimensional Gauss-Bonnet approximation is analytically derived for spinningblack holes and the related thermodynamical properties are briefly outlined.

Kerr-Gauss-Bonnet Black Holes: An Analytical Approximation