Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes
Geometric Topology
2015-06-22 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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 4-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-Nemirovski's observation to arbitrary dimensions.
Keywords
Cite
@article{arxiv.1407.2773,
title = {Cauchy surfaces and diffeomorphism types of globally hyperbolic spacetimes},
author = {Rafael Torres},
journal= {arXiv preprint arXiv:1407.2773},
year = {2015}
}
Comments
to appear Class. Quant. Grav