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• W3100433981 startingPage "235014" @default.
• W3100433981 abstract "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 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 selfadjoint, 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." @default.
• W3100433981 created "2020-11-23" @default.
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• W3100433981 date "2013-10-30" @default.
• W3100433981 modified "2023-10-09" @default.
• W3100433981 title "On well-posedness of the Cauchy problem for the wave equation in static spherically symmetric spacetimes" @default.
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• W3100433981 doi "https://doi.org/10.1088/0264-9381/30/23/235014" @default.
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