TY - JOUR
T1 - Local first law of gravity
AU - Parikh, Maulik
AU - Sarkar, Sudipta
AU - Svesko, Andrew
N1 - Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/5/15
Y1 - 2020/5/15
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.101.104043
DO - 10.1103/PhysRevD.101.104043
M3 - Article
AN - SCOPUS:85086000637
SN - 2470-0010
VL - 101
JO - Physical Review D
JF - Physical Review D
IS - 10
M1 - 104043
ER -