Exact plane symmetric solutions of sin-gordon equations with inherent gravitational fields taken into account

We obtain exact self-consistent plane symmetric solutions to systems of Einstein equations and nonlinear scalar field equations of sin-Gordon type. We write out, in explicit form, two specific solutions corresponding to specific choices of the nonlinearity parameter X. We show that for each value of λ, there exist solutions of soliton and antisoliton type with topological charge Q = ± 1. We establish that the basic difference between the solutions we obtain and solutions of the sin-Gordon equation in flat space-time is that when we take internal gravitational fields into account, each value of λ corresponds to a specific function φλ(x). © 1997 Plenum Publishing Corporation.

Авторы
Издательство
Springer New York LLC
Номер выпуска
10
Язык
Английский
Страницы
977-983
Статус
Опубликовано
Том
39
Год
1996
Организации
  • 1 Russian Peoples' Friendship University
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/834/