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

Brustein, R and Gorbonos, D and Hadad, M and Medved, A.J.M (2011) Evaluating the Wald entropy from two-derivative terms in quadratic actions. Physical Review D, 84 (6). ISSN 1550-7998



Official URL: http://prd.aps.org/abstract/PRD/v84/i6/e064011


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.

Item Type:Article
Uncontrolled Keywords:Wald Noether charge entropy; black holes; matter fields;
Subjects:Q Science > QC Physics
Divisions:Faculty > Faculty of Science > Physics & Electronics
ID Code:2017
Deposited By: Mrs Eileen Shepherd
Deposited On:23 Sep 2011 08:54
Last Modified:06 Jan 2012 16:22
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