Naked Singularity in the Sultana-Dyer Space-Time

Details Naked Singularity in the Sultana-Dyer Space-Time Naked Singularity in the Sultana-Dyer Space-Time

2009-06-20

arxiv.org/abs/0906.3783v6

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figures; typographical errors are corrected; details is added; conclusin is unchanged

Scientific paper

How to describe a black hole embedded in an expanding universe is an important topic. Some models about this issue are suggested by assuming that the metric is a conformal transformation of the Schwarzschild metric or of the isotropic black hole metric. However, there exists naked singularities in the two metrics. Recently, it is argued that the singularity in the Sultana-Dyer space-time is covered by an apparent horizon surface. But we find that such an apparent horizon does not exist if the null energy condition holds.

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