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.

Авторы
Редакторы
-
Журнал
Издательство
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Номер выпуска
6
Язык
Английский
Страницы
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Статус
Опубликовано
Подразделение
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Номер
064013
Том
64
Год
2001
Организации
  • 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
Ключевые слова
article; cosmological phenomena; gravity; mathematical model; time; vacuum
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/284/