Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves
| dc.creator | de Alfaro, V. | |
| dc.creator | Filippov, A. T. | |
| dc.date | 2006-12-27 | |
| dc.date | 2007-01-21 | |
| dc.date.accessioned | 2026-07-07T11:23:30Z | |
| dc.date.available | 2026-07-07T11:23:30Z | |
| dc.description | We introduce generalized dimensional reductions of an integrable 1+1-dimensional dilaton gravity coupled to matter down to one-dimensional static states (black holes in particular), cosmological models and waves. An unusual feature of these reductions is the fact that the wave solutions depend on two variables - space and time. They are obtained here both by reducing the moduli space (available due to complete integrability) and by a generalized separation of variables (applicable also to non integrable models and to higher dimensional theories). Among these new wave-like solutions we have found a class of solutions for which the matter fields are finite everywhere in space-time, including infinity. These considerations clearly demonstrate that a deep connection exists between static states, cosmologies and waves. We argue that it should exist in realistic higher-dimensional theories as well. Among other things we also briefly outline the relations existing betweenthe low-dimensional models that we have discussed hereand the realistic higher-dimensional ones. This paper develops further some ideas already present in our previous papers. We briefly reproduce here (without proof) their main results in a more concise form and give an important generalization. | |
| dc.description | 28 pages, Appendix and some new material in Sections 2 and Section 4 has been added, misprints corrected and some editing has been done | |
| dc.identifier | https://arxiv.org/abs/hep-th/0612258 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0612258 | |
| dc.identifier | Theor.Math.Phys.153:1709-1731,2007 | |
| dc.identifier | doi:10.1007/s11232-007-0142-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194908 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves | |
| dc.type | text |