Entropy and topology for manifolds with boundaries
| dc.creator | Liberati, Stefano | |
| dc.creator | Pollifrone, Giuseppe | |
| dc.date | 1995-09-15 | |
| dc.date | 1995-09-19 | |
| dc.date.accessioned | 2026-07-07T09:04:06Z | |
| dc.date.available | 2026-07-07T09:04:06Z | |
| dc.description | In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form which makes the relation between them self-evident. A generalization of Bekenstein-Hawking formula, in which entropy and Euler characteristic are related in the form $S=χA/8$, is obtained. This formula reproduces the correct result for extreme black hole, where the Bekenstein-Hawking one fails ($S=0$ but $A \neq 0$). In such a way it recovers a unified picture for the black hole entropy law. Moreover, it is proved that such a relation can be generalized to a wide class of manifolds with boundaries which are described by spherically symmetric metrics (e.g. Schwarzschild, Reissner-Nordström, static de Sitter). | |
| dc.description | 19 pages, phyzzx, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9509093 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9509093 | |
| dc.identifier | Nucl.Phys.Proc.Suppl. 57 (1997) 197-200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149253 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Entropy and topology for manifolds with boundaries | |
| dc.type | text |