Causally simple spacetimes and naked singularities
General Relativity and Quantum Cosmology
2021-05-11 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this paper, We prove a conjecture which states that if M is a nakedly singular future boundary or nakedly singular past boundary spacetime, then the space of null geodesics, N, is non-Hausdorff. Also, we show that every two-dimensional strongly causal spacetime M is causally simple if and only if it is null pseudoconvex. As a result, it implies the converse of the conjecture for two-dimension but there are examples that refute it for more dimensions.
Keywords
Cite
@article{arxiv.2105.03730,
title = {Causally simple spacetimes and naked singularities},
author = {Mehdi Vatandoost and Rahimeh Pourkhandani and Neda Ebrahimi},
journal= {arXiv preprint arXiv:2105.03730},
year = {2021}
}