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 language | English (US) |
|---|---|
| Article number | 026018 |
| Journal | Physical Review D |
| Volume | 98 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 15 2018 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Einstein's equations from the stretched future light cone. / Parikh, Maulik; Svesko, Andrew.
In: Physical Review D, Vol. 98, No. 2, 026018, 15.07.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Einstein's equations from the stretched future light cone
AU - Parikh, Maulik
AU - Svesko, Andrew
PY - 2018/7/15
Y1 - 2018/7/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85051119081&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051119081&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.98.026018
DO - 10.1103/PhysRevD.98.026018
M3 - Article
VL - 98
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 026018
ER -