| dc.creator | Gamboa Saraví, Ricardo Enrique | |
| dc.creator | Sanmartino, Marcela | |
| dc.creator | Tchamitchian, Philippe | |
| dc.date | 2013-10 | |
| dc.date | 2020-06-19T13:40:29Z | |
| dc.date.accessioned | 2023-07-14T19:45:40Z | |
| dc.date.available | 2023-07-14T19:45:40Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/98574 | |
| dc.identifier | https://ri.conicet.gov.ar/11336/23632 | |
| dc.identifier | http://iopscience.iop.org/article/10.1088/0264-9381/30/23/235014 | |
| dc.identifier | issn:0264-9381 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7436580 | |
| dc.description | We give simple conditions implying the well-posedness of the Cauchy problem for the propagation of classical scalar fields in general (n + 2)-dimensional static and spherically symmetric spacetimes. They are related to the properties of the underlying spatial part of the wave operator, one of which being the standard essentially self-adjointness. However, in many examples the spatial part of the wave operator turns out to be not essentially self-adjoint, but it does satisfy a weaker property that we call here quasi-essentially self-adjointness, which is enough to ensure the desired well-posedness. This is why we also characterize this second property. We state abstract results, then general results for a class of operators encompassing many examples in the literature, and we finish with the explicit analysis of some of them. | |
| dc.description | Instituto de Física La Plata | |
| dc.format | application/pdf | |
| dc.format | 235014-235044 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Física | |
| dc.subject | Cauchy problem | |
| dc.title | On well-posedness of the Cauchy problem for the wave equation in static spherically symmetric spacetimes | |
| dc.type | Articulo | |
| dc.type | Preprint | |
