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Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces

Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces In this paper we consider a Lorentzian manifold which is globally hyperbolic with a non-compact Cauchy surface. We show that continuous representation of the spacetime is possible by causally admissible systems of its Cauchy surfaces. For that purpose we use Vietoris topology. One application is also included. The work is in the line with research on causality in relativistic spacetimes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-014-0093-x
Publisher site
See Article on Publisher Site

Abstract

In this paper we consider a Lorentzian manifold which is globally hyperbolic with a non-compact Cauchy surface. We show that continuous representation of the spacetime is possible by causally admissible systems of its Cauchy surfaces. For that purpose we use Vietoris topology. One application is also included. The work is in the line with research on causality in relativistic spacetimes.

Journal

Analysis and Mathematical Physics – Springer Journals

Published: Oct 24, 2014

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