Causal topology in future and past distinguishing spacetimes

Parrikar, Onkar; Surya, Sumati

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4057

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DC Field	Value	Language
dc.contributor.author	Parrikar, Onkar	-
dc.contributor.author	Surya, Sumati	-
dc.date.accessioned	2011-08-01T06:08:01Z	-
dc.date.available	2011-08-01T06:08:01Z	-
dc.date.issued	2011-08	-
dc.identifier.citation	Classical and Quantum Gravity, 2011, Vo.l. 28, p155020	en
dc.identifier.issn	1361-6382-(Online)	-
dc.identifier.issn	0264-9381	-
dc.identifier.uri	http://hdl.handle.net/2289/4057	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	The causal structure of a strongly causal spacetime is particularly well endowed. Not only does it determine the conformal spacetime geometry when the spacetime dimension n > 2, as shown by Malament and Hawking–King–McCarthy (MHKM), but also the manifold dimension. The MHKM result, however, applies more generally to spacetimes satisfying the weaker causality condition of future and past distinguishability (FPD), and it is an important question whether the causal structure of such spacetimes can determine the manifold dimension. In this work, we show that the answer to this question is in the affirmative. We investigate the properties of future or past distinguishing spacetimes and show that their causal structures determine the manifold dimension. This gives a non-trivial generalization of the MHKM theorem and suggests that there is a causal topology for FPD spacetimes which encodes manifold dimension and which is strictly finer than the Alexandrov topology. We show that such a causal topology does exist. We construct it using a convergence criterion based on sequences of 'chain intervals' which are the causal analogues of null geodesic segments. We show that when the region of strong causality violation satisfies a local achronality condition, this topology is equivalent to the manifold topology in an FPD spacetime.	en
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/28/15/155020	en
dc.relation.uri	http://arxiv.org/abs/1102.0936	en
dc.rights	2011 IOP Publishing Ltd.	en
dc.title	Causal topology in future and past distinguishing spacetimes	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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