The Embedding of Schwarzschild in Braneworld
| dc.creator | Monte, Edmundo M. | |
| dc.date | 2008-10-08 | |
| dc.date.accessioned | 2026-07-07T12:42:41Z | |
| dc.date.available | 2026-07-07T12:42:41Z | |
| dc.description | The braneworlds models were inspired partly by Kaluza-Klein's theory, where both the gravitational and the gauge fields are obtained from the geometry of a higher dimensional space. The positive aspects of these models consist in perspectives of modifications it could bring in to particle physics, such as: unification in a TeV scale, quantum gravity in this scale and deviation of Newton's law for small distances. One of the principles of these models is to suppose that all space-times can be embedded in a bulk of higher dimension. The main result in these notes is a theorem showing a mathematical inconsistency of the Randall-Sundrum braneworld model, namely that the Schwarzschild space-time cannot be embedded locally and isometrically in a five dimensional bulk with constant curvature,(for example AdS-5). From the point of view of semi-Riemannian geometry this last result represents a serious restriction to the Randall-Sundrum's braneworld model. | |
| dc.description | Published in the Int. J. Theor. Phys, 2008 | |
| dc.identifier | https://arxiv.org/abs/0810.1431 | |
| dc.identifier | http://arxiv.org/abs/0810.1431 | |
| dc.identifier | Int.J.Theor.Phys.48:409-413,2009 | |
| dc.identifier | doi:10.1007/s10773-008-9815-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220161 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Embedding of Schwarzschild in Braneworld | |
| dc.type | text |