Black Hole entropy for two higher derivative theories of gravity

Abstract

The dark energy issue is focusing the attention of an incresing number of physicists all over the world. Among the possible alternatives in order to explain what as been named the "Mystery of the Millennium" are the so-called Modified Theories of Gravity. A crucial test for such models is represented by the existence and (if this is the case) the properties of their black hole solutions. Nowadays, to our knowledge, only two non-trivial, spherically symmetric, solutions with vanishing cosmological constant are known by Barrow & Clifton (2005) and Deser, Sarioglu & Tekin (2008). Aim of the paper is to discuss some features of such solutions, with emphasis on their thermodynamic properties such as entropy and temperature, little progress being possible along the way which leads to a consistent definition of mass.

10 pages, 1 figure

References in corpus (5)

• Dynamics of dark energy
• Dark Energy: Mystery of the Millennium
• Black holes in an asymptotically safe gravity theory with higher derivatives
• Tolman mass, generalized surface gravity, and entropy bounds
• Spherically symmetric solutions of Einstein + non-polynomial gravities

Cited by in corpus (12)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Static Spherically Symmetric Solutions in F(R) Gravity
• Some aspects of generalized modified gravity models
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Regularized Lovelock gravity
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Action growth for black holes in modified gravity
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• Entropy of black hole in the infinite-derivative gravity
• Modified Gravity Models Admitting Second Order Equations of Motion
• Perturbations in Regularized Lovelock Gravity