TY - JOUR
T1 - Local first law of gravity
AU - Parikh, Maulik
AU - Sarkar, Sudipta
AU - Svesko, Andrew
N1 - Funding Information:
M. P. is supported in part by John Templeton Foundation Grant No. 60253 and by the Government of India DST VAJRA Faculty Scheme Grant No. VJR/2017/000117. S. S. is supported in part by the Government of India DST under Start-Up Grant for Young Scientists Grant No. YSS/2015/001346.
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.
UR - http://www.scopus.com/inward/record.url?scp=85086000637&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85086000637&partnerID=8YFLogxK
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 -