Generalized Einstein's equations fromwald entropy

Maulik Parikh; Sudipta Sarkar

doi:10.3390/e18040119

Generalized Einstein's equations fromwald entropy

Maulik Parikh, Sudipta Sarkar

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Article number	119
Journal	Entropy
Volume	18
Issue number	4
DOIs	https://doi.org/10.3390/e18040119
State	Published - Apr 1 2016

Keywords

Black hole thermodynamics
Emergent gravity
General theories of gravity

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.3390/e18040119

Cite this

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title = "Generalized Einstein's equations fromwald entropy",

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.",

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AB - 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.

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KW - General theories of gravity

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Generalized Einstein's equations fromwald entropy

Abstract

Keywords

ASJC Scopus subject areas

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