On the thermodynamic origin of the Hawking entropy and a measurement of the Hawking temperature
| dc.creator | Petri, Michael | |
| dc.date | 2004-05-02 | |
| dc.date.accessioned | 2026-07-07T03:28:39Z | |
| dc.date.available | 2026-07-07T03:28:39Z | |
| dc.description | In the spherically symmetric case the Einstein field equations take on their simplest form for a matter-density rho = 1 / (8 pi r^2), from which a radial metric coefficient g_{rr} \propto r follows. The boundary of an object with such an interior matter-density is situated slightly outside of its gravitational radius. Its surface-redshift scales with z \propto \sqrt{r}, so that any such large object is practically indistinguishable from a black hole, as seen from exterior space-time. The interior matter has a well defined temperature, T \propto 1 / \sqrt{r}. Under the assumption, that the interior matter can be described as an ultra-relativistic gas, the object's total entropy and its temperature at infinity can be calculated by microscopic statistical thermodynamics. They are equal to the Hawking result up to a possibly different constant factor. The simplest solution of the field equations with rho = 1 / (8 pi r^2) is the so called holographic solution, short "holostar". It has an interior string equation of state. The strings are densely packed, explaining why the solution does not collapse to a singularity. The holographic solution has been shown to be a very accurate model for the universe as we see it today in Ref[7]. The factor relating the holostar's temperature at infinity to the Hawking temperature can be expressed in terms the holostar's interior (local) radiation temperature and its (local) matter-density, allowing an experimental verification of the Hawking temperature law. Using the recent experimental data for the CMBR-temperature and the total matter-density in the universe measured by WMAP, the Hawking formula is verified to an accuracy of 1%. | |
| dc.description | 27 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0405008 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0405008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34914 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the thermodynamic origin of the Hawking entropy and a measurement of the Hawking temperature | |
| dc.type | text |