Phys. Rev. D 73, 064011 (2006) [7 pages]Arbitrary black-string deformations in the black-string-black-hole transitionsReceived 13 October 2005; published 10 March 2006 We study the possible black-string black-hole transition by analyzing the structure of the apparent horizon for a large family of time-symmetric initial data. We observe that, as judged by the apparent horizon, it is possible to generate arbitrarily deformed black strings at a moment of time symmetry. A similar study for hyperspherical black holes reveals that although arbitrarily deformed hyperspherical black holes can be constructed, the proper distance between the north and south poles along the extra direction has an upper limit. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.064011
DOI:
10.1103/PhysRevD.73.064011
PACS:
04.50.+h, 04.25.Dm
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