Non-radial strong curvature naked singularities in five dimensional perfect fluid self-similar space-time
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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.
10 pages, no figure. To appear in Gravitation & Cosmology, Vol 10(2004), No 4(40),pp1-10, Russia
10 pages, no figure. To appear in Gravitation & Cosmology, Vol 10(2004), No 4(40),pp1-10, Russia