Black hole entropy in modified gravity models

Abstract

An analysis of some modified gravity models, based on the study of pure Schwarzschild and of Schwarzschild-de Sitter black holes, and involving the use of the Noether charge method, is carried out. Corrections to the classical Einsteinian black hole entropy appear. It is shown explicitly how the condition of positive entropy can be used in order to constrain the viability of modified gravity theories.

5 pages, 3 figures, revtex file, version to appear in PRD

References in corpus (11)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Extra force in $f(R)$ modified theories of gravity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Limit to General Relativity in f(R) theories of gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Stability of Cosmological Solution in f(R) Models of Gravity
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity