HYPERCYLINDRICAL VACUUM SPACETIME SOLUTIONS
2012 ◽
Vol 07
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pp. 259-265
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A brief report is given on hypercylindrical vacuum spacetime solutions and their geometrical properties. The five-dimensional Schwarzschild black string solution characterized by the mass density, which is known to reveal the so-called Gregory-Laflamme instability, turns out to be a special case of a wider class of hypercylindrical vacuum spacetime solutions characterized by two parameters, i.e., mass density and tension. Recent work on the solution space even including a momentum flow or a cosmological constant, higher dimensional extensions than five and some stability analysis under small perturbations are briefly summarized.
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2001 ◽
Vol 08
(01)
◽
pp. 19-27
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2019 ◽
Vol 8
(3)
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pp. 1537-1543
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1974 ◽
Vol 29
(11)
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pp. 1527-1530
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2006 ◽
Vol 15
(02)
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pp. 171-188
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