Scalar-tensor gravity and conformal continuations

Global properties of vacuum static, spherically symmetric configurations are studied in a general class of scalar-tensor theories (STTs) of gravity in various dimensions. The conformal mapping between the Jordan and Einstein frames is used as a tool. Necessary and sufficient conditions are found for the existence of solutions admitting a conformal continuation (CC). The latter means that a singularity in the Einstein-frame manifold maps to a regular surface Strans in the Jordan frame, and the solution is then continued beyond this surface. Strans can be an ordinary regular sphere or a horizon. In the second case, Strans connect two epochs of a Kantowski-Sachs type cosmology. It is shown that the list of possible types of global causal structure of vacuum space-times in any STT, with any potential function U(φ), is the same as in general relativity with a cosmological constant. This is even true for conformally continued solutions. A traversable wormhole is shown to be one of the generic structures created as a result of CC. Two explicit examples are presented: the known solution for a conformal field in general relativity, illustrating the emergence of singularities and wormholes due to CC, and a nonsingular three-dimensional model with an infinite sequence of CCs. © 2002 American Institute of Physics.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
12
Язык
Английский
Страницы
6096-6115
Статус
Опубликовано
Подразделение
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Номер
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Том
43
Год
2002
Организации
  • 1 Centre for GFM, VNIIMS, 3-1 M. Ulyanovoy St., Moscow 117313, Russian Federation
  • 2 Inst. of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
Ключевые слова
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Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/144/