Classical and Quantum GravityNo Access

String clouds and radiation flows as sources of gravity in static or rotating cylinders

K. A. Bronnikov

VNIIMS, Ozyornaya 46, Moscow 119361, Russia

Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia, (RUDN University), ul. Miklukho-Maklaya 6, Moscow 117198, Russia

National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow 115409, Russia

E-mail Address: kb20@yandex.ru

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https://doi.org/10.1142/S0217751X20400047Cited by:2 (Source: Crossref)

This article is part of the issue:

SPECIAL ISSUE — Selected papers from the Tenth Alexander Friedmann International Seminar on Gravitation and Cosmology, Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia, 24–28 June 2019
Editors: V. M. Mostepanenko and E. N. Velichko

Abstract

Static and stationary cylindrically symmetric space-times in general relativity are considered, supported by distributions of cosmic strings stretched in the azimuthal ( $φ$ $φ$ ), longitudinal ( $z$ $z$ ) or radial ( $x$ $x$ ) directions or and by pairs of mutually opposite radiation flows in any of these directions. For such systems, exact solutions are obtained and briefly discussed, except for radial strings (a stationary solution for them is not found); it is shown that static solutions with $z$ $z$ - and $φ$ $φ$ -directed radiation flows do not exist while for $z$ $z$ -directed strings a solution is only possible with negative energy density. Almost all solutions under discussion contain singularities, and all stationary solutions have regions with closed timelike curves, hence, most probably, only their well-behaved regions admit application to real physical situations.

Keywords:

PACS: 04.20.-q, 04.20.Jb, 04.40.Nr, 04.20.Gz

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