Causally simple spacetimes and naked singularities

Mehdi Vatandoost; Rahimeh Pourkhandani; Neda Ebrahimi

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arXiv · 2105.03730

Causally simple spacetimes and naked singularities

Mehdi Vatandoost·Rahimeh Pourkhandani·Neda Ebrahimi

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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.

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BibTeX RIS

Mehdi Vatandoost, Rahimeh Pourkhandani, Neda Ebrahimi. 2021-05-08. Causally simple spacetimes and naked singularities. https://arxiv.org/abs/2105.03730

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