English

Generalised hyperbolicity in spacetimes with string-like singularities

General Relativity and Quantum Cosmology 2016-10-05 v2 Analysis of PDEs

Abstract

In this paper we present well-posedness results of the wave equation in H1H^{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.

Keywords

Cite

@article{arxiv.1602.03584,
  title  = {Generalised hyperbolicity in spacetimes with string-like singularities},
  author = {Yafet Sanchez Sanchez and James A. Vickers},
  journal= {arXiv preprint arXiv:1602.03584},
  year   = {2016}
}

Comments

Accepted for publication in Classical and Quantum Gravity

R2 v1 2026-06-22T12:48:03.959Z