Rotating cylindrical wormholes

We consider stationary, cylindrically symmetric configurations in general relativity and formulate necessary conditions for the existence of rotating cylindrical wormholes. It is shown that in a comoving reference frame, the rotational part of the gravitational field is separated from its static part and forms an effective stress-energy tensor with exotic properties, which favors the existence of wormhole throats. Exact vacuum and scalar-vacuum solutions (with a massless scalar) are considered as examples, and it turns out that even vacuum solutions can be of wormhole nature. However, solutions obtainable in this manner cannot have well-behaved asymptotic regions, which excludes the existence of wormhole entrances appearing as local objects in our Universe. To overcome this difficulty, we try to build configurations with flat asymptotic regions by the cut-and-paste procedure: on both sides of the throat, a wormhole solution is matched to a properly chosen region of flat space at surfaces Σ- and Σ+. It is shown, however, that if we describe the throat region with vacuum or scalar-vacuum solutions, one or both thin shells appearing on Σ- and Σ+ inevitably violate the null energy condition. In other words, although rotating wormhole solutions are easily found without exotic matter, such matter is still necessary for obtaining asymptotic flatness. © 2013 American Physical Society.

Авторы
Bronnikov K.A. 1, 4 , Krechet V.G.2 , Lemos J.P.S.3
Номер выпуска
8
Язык
Английский
Статус
Опубликовано
Номер
084060
Том
87
Год
2013
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Street, Moscow 119361, Russian Federation
  • 2 Yaroslavl State University, 107 Respublikanskaya Street, Yaroslavl 150000, Russian Federation
  • 3 Departamento de Física, Centro Multidisciplinar de Astrofísica-CENTRA, Universidade Técnica de Lisboa-UTL, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
  • 4 Institute of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya Street, Moscow 117198, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2090/
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