English

A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities

High Energy Physics - Theory 2021-08-18 v1 General Relativity and Quantum Cosmology

Abstract

We examine the Kerr/CFT correspondence in Einstein gravity extended with quadratic curvature invariants. We consider two explicit examples in four and five dimensions and compute the central charges of the asymptotic symmetry algebras of the near horizon geometries, using the improved version of the BBC formalism that encompasses the information of the Lagrangian. We find that the resulting Cardy entropy differs from the Wald entropy, caused by the Riemann-squared RμνρσRμνρσR^{\mu\nu\rho\sigma}R_{\mu\nu\rho\sigma} term.

Keywords

Cite

@article{arxiv.2105.02310,
  title  = {A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities},
  author = {Hai-Shan Liu and H. Lu},
  journal= {arXiv preprint arXiv:2105.02310},
  year   = {2021}
}

Comments

Latex, 17 pages