Exact solutions in gravity with a sigma model source

We consider a D-dimensional model of gravity with non-linear "scalar fields" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field equations are obtained when n - 1 factor spaces are Ricci-flat, e. g. when one space M 1 of dimension d 1 > 1 has nonzero scalar curvature. The solutions are defined up to solutions to geodesic equations corresponding to a sigma model target space. Several examples of sigma models are presented. A subclass of spherically symmetric solutions is studied and a restricted version of "no-hair theorem" for black holes is proved. For the case d 1 = 2 a subclass of latent soliton solutions is singled out. © 2012 Springer Science+Business Media, LLC.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
10
Язык
Английский
Страницы
2571-2594
Статус
Опубликовано
Подразделение
-
Номер
-
Том
44
Год
2012
Организации
  • 1 Laboratoire de Univers et Théories (LUTh), Observatoire de Paris, Place Jules Janssen 5, 92190 Meudon, France
  • 2 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, 6 Miklukho-Maklaya Str., 117198 Moscow, Russian Federation
  • 3 Center for Gravitation and Fundamental, Metrology, VNIIMS, 46 Ozyornaya Str., 119361 Moscow, Russian Federation
Ключевые слова
Black holes; Cosmology; D-dimensional gravity; Sigma model
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2275/