Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes

Jul 10, 2014
8 pages
Published in:
  • Class.Quant.Grav. 31 (2014) 175006
  • Published: 2014
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Abstract: (IOP)
Chernov–Nemirovski observed that the existence of a globally hyperbolic Lorentzian metric on a (3+1)(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)(n+1)-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