Spherically symmetric false vacuum: No-go theorems and global structure

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 φ in general relativity, with an arbitrary potential V(φ), not necessarily positive definite. It is shown that a variable scalar field adds nothing to the list of possible structures with a constant φ field, namely, Minkowski [or anti-de Sitter (AdS)], Schwarzschild, de Sitter, and Schwarzschild-de Sitter structures. It follows in particular that whatever V(φ) 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(φ). Extension of the results to more general field models is discussed. ©2001 The American Physical Society.

Authors
Number of issue
6
Language
English
Status
Published
Number
064013
Volume
64
Year
2001
Organizations
  • 1 Centre for Gravitation and Fundamental Metrology, VNIIMS, 3-1 M. Ulyanovoy St, Moscow 117313, Russian Federation
  • 2 Institute of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya St, Moscow 117198, Russian Federation
Keywords
article; cosmological phenomena; gravity; mathematical model; time; vacuum
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/284/