Entropy for curvature squared gravity using surface term and auxiliary field

Abstract

We compute the entropies for general curvature squared gravities in arbitrary dimensions using the conserved charge and Virasoro algebra from surface term. We introduce an auxiliary tensor field in order to obtain the boundary action which establish a variational principle. Our results reproduce those in some specific models, that is, the Gauss-Bonnet, new massive gravity (NMG), and critical gravity.

arXiv comment7 pages

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Cited by in corpus (2)

• Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
• Near horizon symmetry and entropy of black holes in $f(R)$ gravity and conformal gravity