Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-01-11
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
3 pages, TeX
Scientific paper
Gravitational collapse of a spherically symmetric cloud has been extensively studied to investigate the nature of resulting singularity. However, there has been considerable debate about the admissibility of certain initial density distributions. Using the Newtonian limit of the equations governing collapse of a fluid with an equation of state $p=p(\rho)$ it is shown that the density distribution has to be even function of r in a spherically symmetric situation provided $dp/d\rho\ne0$. Implications of this result on formation of strong naked singularities are examined.
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