The compactification of initial data on constant mean curvature time slices in spherically symmetric spacetimes

dc.creatorGowdy, Robert H.
dc.date2001-07-04
dc.date.accessioned2026-07-07T03:26:03Z
dc.date.available2026-07-07T03:26:03Z
dc.descriptionConformal mappings of surfaces of constant mean curvature onto compact bounded background spaces are constructed for Minkowski space-time and for Schwarzschild black hole spacetimes. In the black hole example, it is found that initial data on these CMC surfaces can be regular on the compact background space only when a certain condition is satisfied. That condition implies that the shift vector points inward from all parts of the boundary of the compact background. It also implies that the second fundamental form of these surfaces can never be isotropic when black holes are present.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0107016
dc.identifierhttp://arxiv.org/abs/gr-qc/0107016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33949
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe compactification of initial data on constant mean curvature time slices in spherically symmetric spacetimes
dc.typetext

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