Generalised hyperbolicity in spacetimes with string-like singularities

Abstract

In this paper we present well-posedness results of the wave equation in $H^1$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the dynamics of test fields rather than point particles. In particular, we discuss spacetimes with cosmic strings and the relation of our results to the Strong Cosmic Censorship Conjecture.

Accepted for publication in Classical and Quantum Gravity

References in corpus (3)

• Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"
• The wave equation on singular space-times
• Regularity of curve integrable spacetimes

Cited by in corpus (3)

• Coarse Graining Holographic Black Holes
• Green Operators in Low Regularity Spacetimes and Quantum Field Theory
• Generalised hyperbolicity in spacetimes with Lipschitz regularity