Local first law of gravity

Maulik Parikh, Sudipta Sarkar, Andrew Svesko

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We find a (quasi)local first law of thermodynamics, ΔE=TΔS-W, connecting gravitational entropy, S, with matter energy and work. For Einstein gravity, S is the Bekenstein-Hawking entropy, while for general theories of gravity, S is the Wald entropy, evaluated on the stretched future light cone of any point in an arbitrary spacetime, not necessarily containing a black hole. The equation can be written as ρΔV=TΔS-pΔV by regarding the energy-momentum tensor as that of a fluid.

Original languageEnglish (US)
Article number104043
JournalPhysical Review D
Issue number10
StatePublished - May 15 2020

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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