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- W2007289326 abstract "I enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field ensuremath{varphi} in general relativity, with an arbitrary potential $V(ensuremath{varphi}),$ not necessarily positive definite. It is shown that a variable scalar field adds nothing to the list of possible structures with a constant ensuremath{varphi} field, namely, Minkowski [or anti--de Sitter (AdS)], Schwarzschild, de Sitter, and Schwarzschild--de Sitter structures. It follows in particular that whatever $V(ensuremath{varphi})$ is, this theory does not admit regular black holes with flat or AdS asymptotics. It is concluded that the only possible globally regular, asymptotically flat solutions are solitons with a regular center, without horizons and with at least partly negative potentials $V(ensuremath{varphi}).$ Extension of the results to more general field models is discussed." @default.
- W2007289326 created "2016-06-24" @default.
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- W2007289326 date "2001-08-27" @default.
- W2007289326 modified "2023-10-13" @default.
- W2007289326 title "Spherically symmetric false vacuum: No-go theorems and global structure" @default.
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- W2007289326 doi "https://doi.org/10.1103/physrevd.64.064013" @default.
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