Corrections to Hawking radiation and Bekenstein-Hawking entropy of novel four-dimensional black holes in Gauss- Bonnet gravity

We review the topic of 4D Einstein-Gauss-Bonnet gravity, which has been the subject of considerable interest over the past two years. Our review begins with a general introduction to Lovelock’s theorem, and the subject of Gauss-Bonnet terms in the action for gravity. These areas are of fundamental importance for understanding modiﬁed theories of gravity, and inform our subsequent discussion of recent attempts to include the eﬀects of a Gauss-Bonnet term in four space-time dimensions by rescaling the appropriate coupling parameter. We discuss the mathematical complexities involved in implementing this idea, and review recent attempts at constructing well deﬁned, self-consistent theories that enact it. We then move on to consider the gravitational physics that results from these theories, in the context of black holes, cosmology, and weak-ﬁeld gravity. We show that 4D Einstein-Gauss-Bonnet gravity exhibits a number of interesting phenomena in each of these areas.

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The 4D Einstein–Gauss–Bonnet theory of gravity: a review

Fernandes

Carrilho

Clifton

et al. 2022

Class. Quantum Grav.

123

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Multikink brane in Gauss-Bonnet gravity and its stability

Chen

Zhang

et al. 2023

Phys. Rev. D

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Corrections to Hawking radiation and Bekenstein-Hawking entropy of novel four-dimensional black holes in Gauss- Bonnet gravity

Cited by 2 publications

References 39 publications

The 4D Einstein–Gauss–Bonnet theory of gravity: a review

The 4D Einstein–Gauss–Bonnet theory of gravity: a review

Multikink brane in Gauss-Bonnet gravity and its stability

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