The generic sudden singularity in Brans–Dicke theory

We construct a formal asymptotic series expansion for a general solution of the Brans–Dicke equations with a fluid source near a sudden singularity. This solution contains 11 independent arbitrary functions of the spatial coordinates as required by the Cauchy problem of the theory. We show that the solution is geodesically complete and has the character of a shock wave in the sudden asymptotic region. This solution is weak in the senses of Tipler and Krolak as in the corresponding case of general relativity. © 2020, The Author(s).

Авторы
Barrow J.D.1 , Cotsakis S. 2, 3 , Trachilis D.4
Издательство
Springer New York LLC
Номер выпуска
12
Язык
Английский
Статус
Опубликовано
Номер
1197
Том
80
Год
2020
Организации
  • 1 DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Rd., Cambridge, CB3 0WA, United Kingdom
  • 2 Institute of Gravitation and Cosmology, RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Research Laboratory of Geometry, Dynamical Systems and Cosmology, University of the Aegean, Karlovassi, Samos 83200, Greece
  • 4 College of Engineering and Technology, American University of the Middle East, Eqaila, Kuwait
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72532/
Поделиться

Другие записи