Spinor fields in spherical symmetry: Einstein–Dirac and other space-times

We discuss the static, spherically symmetric Einstein-spinor field system in the possible presence of various spinor field nonlinearities. We take into account that the spinor field energy–momentum tensor (EMT) has in general some off-diagonal components, whose vanishing due to the Einstein equations substantially affects the form of the spinor field itself and the space-time geometry. In particular, the EMT structure with any spinor field nonlinearities turns out to be the same as that of the EMT of a minimally coupled scalar field with a self-interaction potential. Therefore, many results previously obtained for systems with such scalar fields are directly extended to the Einstein-spinor field system. Some special solutions are obtained and discussed, in particular a solution for the Einstein–Dirac system (which lacks asymptotic flatness) and some examples with spinor field nonlinearities. © 2020, Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature.

Авторы
Bronnikov K.A. 1, 2, 3 , Rybakov Y.P. 2 , Saha B. 2, 4
Издательство
SPRINGER HEIDELBERG
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
124
Том
135
Год
2020
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., Moscow, 119361, Russian Federation
  • 2 Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6., Moscow, 117198, Russian Federation
  • 3 National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), Moscow, Russian Federation
  • 4 Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Moscow Region 141980, Russian Federation
Дата создания
10.02.2020
Дата изменения
10.02.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/56596/