Spherically symmetric false vacuum: No go theorems and global structure
Spherically symmetric false vacuum: No go theorems and global structure
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球对称假真空：No go 定理和全局结构
DOI：
10.1103/physrevd.64.064013
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发表时间：
2001
影响因子：
5
通讯作者：
K. Bronnikov
中科院分区：
文献类型：
--
作者：
K. Bronnikov
我们列举了所有可能的时空因果结构类型，它们可以出现在广义相对论中自引力、真实的、非线性、最小耦合标量场的静态球对称构型中，具有任意势V（\phi），不一定是正定的。它表明，一个可变的标量场没有添加任何的可能结构的列表与一个常数\phi字段，即闵可夫斯基（或AdS），史瓦西，德西特和史瓦西-德西特。特别是，无论V（\phi）是多少，这个理论都不承认具有平坦或AdS渐近性的规则黑洞。得出的结论是，唯一可能的全局正则，渐近平坦的解决方案是孤子与一个规则的中心，没有地平线，至少部分负电位V（\phi）。扩展到更一般的场模型的结果进行了讨论。
We 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 \phi in general relativity, with an arbitrary potential V(\phi), not necessarily positive-definite. It is shown that a variable scalar field adds nothing to the list of possible structures with a constant \phi field, namely, Minkowski (or AdS), Schwarzschild, de Sitter and Schwarzschild - de Sitter. It follows, in particular, that, whatever is V(\phi), 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(\phi). Extension of the results to more general field models is discussed.