A singularity theorem based on spatial averages
| dc.creator | Senovilla, José M. M. | |
| dc.date | 2006-10-26 | |
| dc.date | 2007-05-06 | |
| dc.date.accessioned | 2026-07-07T11:57:42Z | |
| dc.date.available | 2026-07-07T11:57:42Z | |
| dc.description | Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, a new singularity theorem is proved. Open non-rotating everywhere expanding universes with non-vanishing spatial average of the matter variables are severely geodesically incomplete to the past. Another way of stating the result is that, under the same conditions, any singularity-free model must have a vanishing spatial average of the energy density (and other physical variables). This is very satisfactory and provides a clear decisive difference between singular and non-singular cosmologies. | |
| dc.description | Corrections made in the main theorem and related places. 16 pages, no figures. Invited contribution to the Pramana special issue, dedicated to A K Raychaudhuri, on "the Raychaudhuri Equation and its Role in Modern Cosmology" (Edited by Naresh Dadhich, Pankaj Joshi and Probir Roy). Final version to be published | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0610127 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0610127 | |
| dc.identifier | Pramana69:31-48,2007 | |
| dc.identifier | doi:10.1007/s12043-007-0109-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205970 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A singularity theorem based on spatial averages | |
| dc.type | text |