On the invariant causal characterization of singularities in spherically symmetric spacetimes

Details On the invariant causal characterization of singularities in spherically symmetric spacetimes On the invariant causal characterization of singularities in spherically symmetric spacetimes

2012-04-19

arxiv.org/abs/1204.4316v1

Class. Quantum Grav. 29 (2012) 095019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

A misprint corrected in Theor. 4.1 /Cor. 4.1

Scientific paper

10.1088/0264-9381/29/9/095019

The causal character of singularities is often studied in relation to the existence of naked singularities and the subsequent possible violation of the cosmic censorship conjecture. Generally one constructs a model in the framework of General Relativity described in some specific coordinates and finds an ad hoc procedure to analyze the character of the singularity. In this article we show that the causal character of the zero-areal-radius (R=0) singularity in spherically symmetric models is related with some specific invariants. In this way, if some assumptions are satisfied, one can ascertain the causal character of the singularity algorithmically through the computation of these invariants and, therefore, independently of the coordinates used in the model.

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