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Entropy 2016, 18(4), 119;

Generalized Einstein’s Equations from Wald Entropy

Department of Physics and Beyond Center for Fundamental Concepts in Science, Arizona State University, Tempe, AZ 85287, USA
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)
Full-Text   |   PDF [225 KB, uploaded 31 March 2016]   |  


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

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