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

Brustein, R., Gorbonos, D., Hadad, M., & Medved, A. J. M. (2011). Evaluating the Wald entropy from two-derivative terms in quadratic actions. Physical Review D, 84(6): 064011. doi:10.1103/PhysRevD.84.064011.

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Brustein, R., Author
Gorbonos, Dan1, Author              
Hadad, M., Author
Medved, A. J. M., Author
Affiliations:
1University of Alberta, ou_persistent22              

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 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.

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 Dates: 2011-09-09
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: WOS:000294779900002
DOI: 10.1103/PhysRevD.84.064011
ISSN: 1550-7998
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 84 (6) Sequence Number: 064011 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258