A note on the causal homotopy classes of a globally hyperbolic spacetime

Abstract

Globally hyperbolic spacetimes admitting infinitely many causal (and timelike) homotopy classes of curves joining two prescribed points, are exhibited and discussed.

Revised version with further physical motivations to appear in CQG. Latex, 11 pages, 3 figures

References in corpus (2)

• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• Connecting solutions of the Lorentz force equation do exist

Cited by in corpus (1)

• Globally hyperbolic spacetimes: slicings, boundaries and counterexamples