Entropy density of spacetime and thermodynamic interpretation of field equations of gravity in any diffeomorphism invariant theory
| dc.creator | Padmanabhan, T. | |
| dc.date | 2009-03-06 | |
| dc.date.accessioned | 2026-07-07T12:49:54Z | |
| dc.date.available | 2026-07-07T12:49:54Z | |
| dc.description | I argue that the field equations of any theory of gravity which is diffeomorphism invariant must be expressible as a thermodynamic identity, TdS=dE around any event in the spacetime. This fact can be demonstrated explicitly (and rather easily) if: (a) one accepts the Noether current of the theory as providing the definition for local entropy density and (b) one is allowed to introduce the local notions of a Rindler frame, acceleration horizon and a Killing vector (related to translation in Rindler time) around any event. It is conceptually incorrect - in general - to invert this argument and obtain the field equations of the theory from the thermodynamic identity. I discuss under what conditions this may be possible. Several subtleties related to these arguments are described. | |
| dc.description | revtex; 5 pages; no figures | |
| dc.identifier | https://arxiv.org/abs/0903.1254 | |
| dc.identifier | http://arxiv.org/abs/0903.1254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222531 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Cosmology and Nongalactic Astrophysics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Entropy density of spacetime and thermodynamic interpretation of field equations of gravity in any diffeomorphism invariant theory | |
| dc.type | text |