Evaluating the Wald entropy from two-derivative terms in quadratic actions

Ram Brustein, Dan Gorbonos, Merav Hadad, A. J.M. Medved

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We evaluate the Wald Noether charge entropy for a black hole in generalized theories of gravity. Expanding the Lagrangian to second order in gravitational perturbations, we show that contributions to the entropy density originate only from the coefficients of two-derivative terms. The same considerations are extended to include matter fields and to show that arbitrary powers of matter fields and their symmetrized covariant derivatives cannot contribute to the entropy density. We also explain how to use the linearized gravitational field equation rather than quadratic actions to obtain the same results. Several explicit examples are presented that allow us to clarify subtle points in the derivation and application of our method.

Original languageEnglish
Article number064011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number6
DOIs
StatePublished - 9 Sep 2011

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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