The Schwarzschild-de Sitter solution in five-dimensional general relativity briefly revisited
| dc.creator | Fonseca-Neto, J. B. | |
| dc.creator | Romero, C. | |
| dc.date | 2007-03-20 | |
| dc.date.accessioned | 2026-07-07T11:21:54Z | |
| dc.date.available | 2026-07-07T11:21:54Z | |
| dc.description | We briefly revisit the Schwarzschild-de Sitter solution in the context of five-dimensional general relativity. We obtain a class of five-dimensional solutions of Einstein vacuum field equations into which the four-dimensional Schwarzschild-de Sitter space can be locally and isometrically embedded. We show that this class of solutions is well-behaved in the limit of lambda approaching zero. Applying the same procedure to the de Sitter cosmological model in five dimensions we obtain a class of embedding spaces which are similarly well-behaved in this limit. These examples demonstrate that the presence of a non-zero cosmological constant does not in general impose a rigid relation between the (3+1) and (4+1)-dimensional spacetimes, with degenerate limiting behaviour. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0703103 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0703103 | |
| dc.identifier | Class.Quant.Grav.24:3515-3520,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/13/N01 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194402 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Schwarzschild-de Sitter solution in five-dimensional general relativity briefly revisited | |
| dc.type | text |