Noether charge and black hole entropy in modified theories of gravity

2007/10/31 by Dan N. Vollick · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.76.124001

published as Phys.Rev.D76:124001,2007 · Changes to sections 3 and 4 plus minor changes, 10 pages

arxiv created 2007/11/27 · openalex publication_date 2007/12/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole is one-quarter of the horizon area in f(R) theories coupled to conformally invariant matter. If matter is present that is not conformally invariant, the entropy is still proportional to the area of the black hole, but the coefficient is generally not one-quarter. The entropy of black holes in generalized dilaton theories and in theories with Lagrangians that depend on an arbitrary function of the Ricci tensor are also examined.

Cited by

• Analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equations
• f(R)theories of gravity
• Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
• The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions
• Black hole entropy in modified-gravity models

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