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Stationary generalizations for the Bronnikov-Ellis wormhole and for the vacuum ring wormhole

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dc.contributor.author Volkov M.S.
dc.date.accessioned 2022-02-09T20:48:40Z
dc.date.available 2022-02-09T20:48:40Z
dc.date.issued 2021
dc.identifier.issn 2470-0010
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/170450
dc.description.abstract We analyze possibilities to obtain a globally regular stationary generalization for the ultrastatic wormhole with a repulsive scalar field found by Bronnikov and by Ellis in 1973. The extreme simplicity of this static solution suggests that its spinning version could be obtainable analytically and should be globally regular, but no such generalization has been found. We analyze the problem and find that the difficulty originates in the vacuum theory, since the scalar field can be eliminated within the Eris-Gurses procedure. The problem then reduces to constructing the spinning generalization for the vacuum wormhole sourced by a thin ring of negative tension. Solving the vacuum Ernst equations determines the g00, g0φ metric components and hence the AMD mass M and angular momentum J, all of these being specified by the ring source. The scalar field can be included into consideration afterwards, but this only affects grr and g without changing the rest. Within this approach, we analyze a number of exact stationary generalizations for the wormhole, but none of them are satisfactory. However, the perturbative expansion around the static vacuum background contains only bounded functions and presumably converges to an exact solution. Including the scalar field screens the singularity at the ring source and renders the geometry regular. This solution describes a globally regular spinning wormhole with two asymptotically flat regions. Even though the source itself is screened and not visible, the memory of it remains in g00 and g0φ and accounts for the M J2 relation typical for a rotating extended source. Describing stationary spacetimes with an extended source is a complicated problem, which presumably explains the difficulty in finding the solution.
dc.relation.ispartofseries Physical Review D
dc.title Stationary generalizations for the Bronnikov-Ellis wormhole and for the vacuum ring wormhole
dc.type Article
dc.relation.ispartofseries-issue 12
dc.relation.ispartofseries-volume 104
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS24700010-2021-104-12-SID85122369143


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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