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arXiv · 1506.08062

Black Holes in Gauss-Bonnet Gravity's Rainbow

Seyed Hossein Hendi·Mir Faizal
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Abstract

In this paper, we will generalize the Gauss-Bonnet gravity to an energy dependent Gauss-Bonnet theory of gravity, which we shall call as the Gauss-Bonnet gravity's rainbow. We will also couple this theory to a Maxwell's theory. We will analyze black hole solutions in this energy dependent Gauss-Bonnet gravity's rainbow. We will calculate the modifications to the thermodynamics of black holes in the Gauss-Bonnet's gravity's rainbow. We will demonstrate that even though the thermodynamics of the black holes get modified in the Gauss-Bonnet gravity's rainbow, the first law of thermodynamics still holds for this modified thermodynamics. We will also comment on the thermal stability of the black hole solutions in this theory.

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Seyed Hossein Hendi, Mir Faizal. 2015-06-20. Black Holes in Gauss-Bonnet Gravity's Rainbow. https://doi.org/10.1103/physrevd.92.044027

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