Einstein's equations from the stretched future light cone

Maulik Parikh, Andrew Svesko

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We define the stretched future light cone, a timelike hypersurface composed of the worldlines of radially accelerating observers with constant and uniform proper acceleration. By attributing temperature and entropy to this hypersurface, we derive Einstein's equations from the Clausius theorem. Moreover, we show that the gravitational equations of motion for a broad class of diffeomorphism-invariant theories of gravity can be obtained from thermodynamics on the stretched future light cone, provided the Bekenstein-Hawking entropy is replaced by the Wald entropy.

Original languageEnglish (US)
Article number026018
JournalPhysical Review D
Volume98
Issue number2
DOIs
StatePublished - Jul 15 2018

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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