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.

7 pages

References in corpus (4)

• Massive Gravity in Three Dimensions
• Critical Gravity in Four Dimensions
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity

Cited by in corpus (1)

• Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy