IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
On well-posedness of the Cauchy problem for the wave equation in static spherically symmetric spacetimes
Autor/es:
RICARDO E. GAMBOA SARAVI, MARCELA SANMARTINO, PHILIPPE TCHAMITCHIAN
Revista:
CLASSICAL AND QUANTUM GRAVITY
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2013 vol. 30 p. 235014 - 235044
ISSN:
0264-9381
Resumen:
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.