An exact five dimensional Weyl-Geometry Gauss-Bonnet Black Hole

Sebastian Bahamonde, Máximo Bañados

Published: 2025/4/3

Abstract

We present a new exact black hole solution of a 5-dimensional Weyl-geometry Gauss-Bonnet theory of gravity. The Euclidean sector defines a fully regular metric coupled to the Weyl vector field. The Euclidean action and entropy are computed, with the latter following the simple $A/4$ form plus a term linear in the horizon radius, characteristic of Gauss-Bonnet couplings.

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