Chernov–Nemirovski observed that the existence of a globally hyperbolic Lorentzian metric on a $(3+1)$-spacetime pins down a smooth structure on the underlying four-manifold. In this paper, we point out that the diffeomorphism type of a globally hyperbolic $(n+1)$-spacetime is determined by the h-cobordism class of its Cauchy surface, hence extending Chernov–Nemirovskiʼs observation to arbitrary dimensions. © 2014 IOP Publishing Ltd.

Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes / Torres Ruiz, Rafael. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 31:17(2014), pp. 1-8. [10.1088/0264-9381/31/17/175006]

Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes

Torres Ruiz, Rafael
2014-01-01

Abstract

Chernov–Nemirovski observed that the existence of a globally hyperbolic Lorentzian metric on a $(3+1)$-spacetime pins down a smooth structure on the underlying four-manifold. In this paper, we point out that the diffeomorphism type of a globally hyperbolic $(n+1)$-spacetime is determined by the h-cobordism class of its Cauchy surface, hence extending Chernov–Nemirovskiʼs observation to arbitrary dimensions. © 2014 IOP Publishing Ltd.
2014
31
17
1
8
175006
https://arxiv.org/abs/1407.2773
http://inspirehep.net/record/1305612
http://cdsads.u-strasbg.fr/abs/2014CQGra..31q5006T
Torres Ruiz, Rafael
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32853
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