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Non-radial strong curvature naked singularities in five dimensional perfect fluid self-similar space-time

Sanjay B. Sarwe·R. V. Saraykar
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Abstract

We study five dimensional(5D) spherically symmetric self-similar perfect fluid space-time with adiabatic equation of state, considering all the families of future directed non-spacelike geodesics. The space-time admits globally strong curvature naked singularities in the sense of Tipler and thus violates the cosmic censorship conjecture provided a certain algebraic equation has real positive roots. We further show that it is the weak energy condition (WEC) that is necessary for visibility of singularities for a finite period of time and for singularities to be gravitationally strong. We, also, match the solution to 5D Schwarzschild solution using the junction conditions.

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Sanjay B. Sarwe, R. V. Saraykar. 2005-02-22. Non-radial strong curvature naked singularities in five dimensional perfect fluid self-similar space-time. https://arxiv.org/abs/gr-qc/0502092

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