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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.