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

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2011

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

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https://doi.org/10.1103/PhysRevD.84.064011
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http://arxiv.org/abs/1106.4394

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Physical Review D. American Physical Society (APS). 2011, 84(6), 064011. ISSN 0556-2821. eISSN 1089-4918. Available under: doi: 10.1103/PhysRevD.84.064011

Zusammenfassung

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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570 Biowissenschaften, Biologie

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ISO 690BRUSTEIN, Ram, Dan GORBONOS, Merav HADAD, A. J. M. MEDVED, 2011. Evaluating the Wald Entropy from two-derivative terms in quadratic actions. In: Physical Review D. American Physical Society (APS). 2011, 84(6), 064011. ISSN 0556-2821. eISSN 1089-4918. Available under: doi: 10.1103/PhysRevD.84.064011
BibTex
@article{Brustein2011-06-22T08:55:59ZEvalu-51437,
  year={2011},
  doi={10.1103/PhysRevD.84.064011},
  title={Evaluating the Wald Entropy from two-derivative terms in quadratic actions},
  number={6},
  volume={84},
  issn={0556-2821},
  journal={Physical Review D},
  author={Brustein, Ram and Gorbonos, Dan and Hadad, Merav and Medved, A. J. M.},
  note={Article Number: 064011}
}
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