Entropy 2016, 18(4), 119; https://doi.org/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
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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)
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
Figure 1
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Parikh, M.; Sarkar, S. Generalized Einstein’s Equations from Wald Entropy. Entropy 2016, 18, 119.
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