Dressing a Naked Singularity: an Example

Details Dressing a Naked Singularity: an Example Dressing a Naked Singularity: an Example

2008-05-14

arxiv.org/abs/0805.2106v2

Int.J.Mod.Phys.D19:317,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 figure. This version corrects an error in the calculus of the pressure and in the conclusions

Scientific paper

10.1142/S0218271810016439

Considering the evolution of a perfect fluid with self-similarity of the second kind, we have found that an initial naked singularity can be trapped by an event horizon due to collapsing matter. The fluid moves along time-like geodesics with a self-similar parameter $\alpha = -3$. Since the metric obtained is not asymptotically flat, we match the spacetime of the fluid with a Schwarzschild spacetime. All the energy conditions are fulfilled until the naked singularity.

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