On wormholes with long throats and the stability problem

We construct explicit examples of globally regular static, spherically symmetric solutions of general relativity with a phantom scalar field as the source of gravity, describing traversable wormholes with flat asymptotic regions on both sides of the throat as well as regular black holes, in particular, those called black universes. To explain why such phantom fields are not observed under usual conditions, we invoke the concept of “invisible ghosts,” which means that the phantom field decays quickly enough at infinity and is there too weak to be observed. This approach leads to wormhole models in which the spherical radius is almost constant in some range of the radial coordinate near the throat, forming a “long throat.” We discuss the peculiar features and difficulties of the stability problem for such configurations. It is shown that the limiting case of a “maximally long throat” has the form of an unstable model with the Nariai metric. This allows us to conjecture that a long throat does not stabilize wormholes with a scalar source. © 2017, Pleiades Publishing, Ltd.

Авторы
Номер выпуска
3
Язык
Английский
Страницы
273-279
Статус
Опубликовано
Том
23
Год
2017
Организации
  • 1 Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 2 Center for Gravitation and Fundamental Metrology, VNIIMS, Ozyornaya ul. 46, Moscow, 119361, Russian Federation
  • 3 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5443/