Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
| dc.creator | Bañados, Máximo | |
| dc.creator | Teitelboim, Claudio | |
| dc.creator | Zanelli, Jorge | |
| dc.date | 1993-09-25 | |
| dc.date.accessioned | 2026-07-07T12:33:13Z | |
| dc.date.available | 2026-07-07T12:33:13Z | |
| dc.description | The Euclidean black hole has topology $\Re^2 \times {\cal S}^{d-2}$. It is shown that -in Einstein's theory- the deficit angle of a cusp at any point in $\Re^2$ and the area of the ${\cal S}^{d-2}$ are canonical conjugates. The black hole entropy emerges as the Euler class of a small disk centered at the horizon multiplied by the area of the ${\cal S}^{d-2}$ there.These results are obtained through dimensional continuation of the Gauss-Bonnet theorem. The extension to the most general action yielding second order field equations for the metric in any spacetime dimension is given. | |
| dc.description | 7 pages, RevTex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9309026 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9309026 | |
| dc.identifier | Phys.Rev.Lett.72:957-960,1994 | |
| dc.identifier | doi:10.1103/PhysRevLett.72.957 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217049 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem | |
| dc.type | text |