Invariance of Positive-Frequency Kernels in Generalized FRW Spacetimes
| dc.creator | Droz-Vincent, Ph. | |
| dc.date | 1998-01-05 | |
| dc.date.accessioned | 2026-07-07T03:32:08Z | |
| dc.date.available | 2026-07-07T03:32:08Z | |
| dc.description | We consider the Klein-Gordon equation in FRW-like spacetimes, with compact space sections (not necessarily isotropic neither homogeneous). The bi-scalar kernel allowing to select the positive-frequency part of any solution is developed on mode solutions, using the eigenfunctions of the three-dimensional Laplacian. Of course this kernel is not unique but, except (perhaps) when the scale factor undergoes a special law of evolution, the metric has no more symmetries (connected with the identity) than those inherited from the space sections. As a result, all admissible definitions of the positive-frequency kernel are related one to another by a unitary transformation which commutes with the connected isometries of spacetime; any such kernel is invariant under these isometries isometries. A physical interpretation is tentatively suggested. | |
| dc.description | 25 pages. Plain TeX file | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9801007 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9801007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36118 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Invariance of Positive-Frequency Kernels in Generalized FRW Spacetimes | |
| dc.type | text |