Topology of the Causal Boundary for Standard Static Spacetimes

dc.creatorFlores, Jose' L.
dc.creatorHarris, Steven G.
dc.date2006-07-11
dc.date.accessioned2026-07-07T11:26:26Z
dc.date.available2026-07-07T11:26:26Z
dc.descriptionThe topology of the causal boundary for standard static spacetimes--spacetimes time-invariantly conformal to a metric product of the Lorentz line and a Riemannian manifold--is studied in depth. As this is given in terms of a set of real-valued functions on the Riemannian factor, one could use a function-space topology, but physical reasons recommend a chronological topology instead. The function-space topology has a simple product structure, while the chronological topology might not. This paper examines when the chronological topology coincides with the function-space topology and when it has a simple product structure. A class of standard static spacetimes is examined, all of which yield a simple product structure for the causal boundary; the conformal class of these spacetimes includes classical spacetimes such as external Schwarzschild or Reissner-Nordstrom.
dc.description50 pages, AMS-TeX; submitted to Class. Quantum Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0607049
dc.identifierhttp://arxiv.org/abs/gr-qc/0607049
dc.identifierClass.Quant.Grav.24:1211-1260,2007
dc.identifierdoi:10.1088/0264-9381/24/5/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195823
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTopology of the Causal Boundary for Standard Static Spacetimes
dc.typetext

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