Publication: Magnetized dusty black holes and wormholes
Дата
2021
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© 2021 by the authors. Licensee MDPI, Basel, Switzerland.We consider the generalized Tolman solution of general relativity, describing the evolution of a spherical dust cloud in the presence of an external electric or magnetic field. The solution contains three arbitrary functions f (R), F(R) and τ0 (R), where R is a radial coordinate in the comoving reference frame. The solution splits into three branches corresponding to hyperbolic (f > 0), parabolic (f = 0) and elliptic (f < 0) types of motion. In such models, we study the possible existence of wormhole throats defined as spheres of minimum radius at a fixed time instant, and prove the existence of throats in the elliptic branch under certain conditions imposed on the arbitrary functions. It is further shown that the normal to a throat is a timelike vector (except for the instant of maximum expansion, when this vector is null), hence a throat is in general located in a T-region of space-time. Thus, if such a dust cloud is placed between two empty (Reissner–Nordström or Schwarzschild) space-time regions, the whole configuration is a black hole rather than a wormhole. However, dust clouds with throats can be inscribed into closed isotropic cosmological models filled with dust to form wormholes which exist for a finite period of time and experience expansion and contraction together with the corresponding cosmology. Explicit examples and numerical estimates are presented. The possible traversability of wormhole-like evolving dust layers is established by a numerical study of radial null geodesics.
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Kashargin, P. E. Magnetized dusty black holes and wormholes / Kashargin, P.E., Sushkov, S.V., Bronnikov, K.A. // Universe. - 2021. - 7. - № 11. - 10.3390/universe7110419
URI
https://www.doi.org/10.3390/universe7110419
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https://openrepository.mephi.ru/handle/123456789/25017
https://www.scopus.com/record/display.uri?eid=2-s2.0-85119107309&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000723778800001
https://openrepository.mephi.ru/handle/123456789/25017