Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes
Jul 10, 20148 pages
Published in:
- Class.Quant.Grav. 31 (2014) 175006
- Published: 2014
e-Print:
- 1407.2773 [math.GT]
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Abstract: (IOP)
Chernov–Nemirovski observed that the existence of a globally hyperbolic Lorentzian metric on a -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 -spacetime is determined by the h-cobordism class of its Cauchy surface, hence extending Chernov–Nemirovskiʼs observation to arbitrary dimensions.Note:
- to appear Class. Quant. Grav
- spacetime
- cauchy surface
- h-cobordism
References(23)
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