A stringy black string and a stringy black hole in four dimensions

dc.creatorJensen, Bjørn
dc.creatorHjelmeland, Svend E.
dc.date1996-08-29
dc.date1996-09-23
dc.date.accessioned2026-07-07T08:59:35Z
dc.date.available2026-07-07T08:59:35Z
dc.descriptionWe uplift the static three dimensional black hole solution found by Banados, Teitelboim and Zanelli (BTZ) into four dimensional space time. In this way we obtain a black string solution with a relativistic string source, as well as a new black hole solution which is also generated by a relativistic ``stringy'' source. It is shown that when passing continuously from the region of the one dimensional parameter spaces which characterize these solutions, containing naked singular strings or naked singular ``points'', and into the region containing black strings or black holes, the metrics ``blow up'' at a critical point in both parameter spaces. We show that a similar ``separation'' mechanism can be introduced in three dimensions. In this way we also obtain a generalization of the BTZ solution. The ``separation'' mechanism, and its immediate consequences, offers an hitherto missing technical argument needed in order to exclude the naked singularities (the ``mass gap'') from the space of ``physically permissible'' solutions in three dimensional Einstein theory coupled to a negative cosmological constant. PACS nos.: 04.40.Nr, 04.20.Cv
dc.description4 pages, twocolumn, Revtex, no figures. New results and references added. Presentation and discussion improved
dc.identifierhttps://arxiv.org/abs/gr-qc/9608068
dc.identifierhttp://arxiv.org/abs/gr-qc/9608068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147765
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA stringy black string and a stringy black hole in four dimensions
dc.typetext

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