Thermodynamic Interpretation of Field Equations at Horizon of BTZ Black Hole
| dc.creator | Akbar, M. | |
| dc.date | 2007-02-05 | |
| dc.date.accessioned | 2026-07-07T11:03:12Z | |
| dc.date.available | 2026-07-07T11:03:12Z | |
| dc.description | A spacetime horizon comprising with a black hole singularity acts like a boundary of a thermal system associated with the notions of temperature and entropy. In case of static metric of BTZ black hole, the field equations near horizon boundary can be expressed as a thermal identity $dE = TdS + P_{r}dA$, where $E = M$ is the mass of BTZ black hole, $dA$ is the change in the area of the black hole horizon when the horizon is displaced infinitesimally small, $P_{r}$ is the radial pressure provided by the source of Einstein equations, $S= 4πa$ is the entropy and $T = κ/ 2π$ is the Hawking temperature associated with the horizon. This approach is studied further to generalize it for non-static BTZ black hole and show that it is also possible to interpret the field equation near horizon as a thermodynamic identity $dE = TdS + P_{r}dA + Ω_{+} dJ$, where $Ω_{+}$ is the angular velocity and $J$ is the angular momentum of BTZ black hole. These results indicate that the field equations for BTZ black hole possess intrinsic thermodynamic properties near horizon. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0702029 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0702029 | |
| dc.identifier | Chin.Phys.Lett.24:1158,2007 | |
| dc.identifier | doi:10.1088/0256-307X/24/5/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/188508 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Thermodynamic Interpretation of Field Equations at Horizon of BTZ Black Hole | |
| dc.type | text |