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Entropy 2016, 18(4), 119; doi:10.3390/e18040119

Generalized Einstein’s Equations from Wald Entropy

1
Department of Physics and Beyond Center for Fundamental Concepts in Science, Arizona State University, Tempe, AZ 85287, USA
2
Indian Institute of Technology, Gandhinagar, Gujarat 382424, India
*
Author to whom correspondence should be addressed.
Academic Editor: David Kubiznak
Received: 26 February 2016 / Revised: 14 March 2016 / Accepted: 17 March 2016 / Published: 31 March 2016
(This article belongs to the Special Issue Black Hole Thermodynamics II)
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Abstract

We derive the gravitational equations of motion of general theories of gravity from thermodynamics applied to a local Rindler horizon through any point in spacetime. Specifically, for a given theory of gravity, we substitute the corresponding Wald entropy into the Clausius relation. Our approach works for all diffeomorphism-invariant theories of gravity in which the Lagrangian is a polynomial in the Riemann tensor. View Full-Text
Keywords: black hole thermodynamics; general theories of gravity; emergent gravity black hole thermodynamics; general theories of gravity; emergent gravity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Parikh, M.; Sarkar, S. Generalized Einstein’s Equations from Wald Entropy. Entropy 2016, 18, 119.

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