Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-05-25
Int.J.Mod.Phys. D11 (2002) 113-124
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 2 figures, Revtex, three references added
Scientific paper
A large class of Type II fluid solutions to Einstein field equations in N-dimensional spherical spacetimes is found, wich includes most of the known solutions. A family of the generalized collapsing Vaidya solutions with homothetic self-similarity, parametrized by a constant $\lambda$, is studied, and found that when $\lambda$ $>$ $\lambda_c(N)$, the collapse always forms black holes, and when $\lambda$ $<$ $\lambda_c(N)$, it always forms naked singularities, where $\lambda_c(N)$ is function of the spacetime dimension N only.
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