• Open Access

Einstein’s equations from the stretched future light cone

Maulik Parikh and Andrew Svesko
Phys. Rev. D 98, 026018 – Published 12 July 2018

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.

  • Figure
  • Received 23 January 2018

DOI:https://doi.org/10.1103/PhysRevD.98.026018

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Maulik Parikh and Andrew Svesko

  • Department of Physics, Beyond: Center for Fundamental Concepts in Science, Arizona State University, Tempe, Arizona 85287, USA

Article Text

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Issue

Vol. 98, Iss. 2 — 15 July 2018

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