Physics – General Physics
Scientific paper
2008-01-02
Physics
General Physics
13 pages, no figure
Scientific paper
In this paper, we examine the dynamical behavior of a collapsing star via fully dynamical approach. We derive and simplify the complete dynamical equation system for a collapsing spherically symmetrical star with perfect fluid, and establish some new constraints on the initial and boundary conditions. The mass density near the center can be approximately derived in the light-cone coordinate system. The results show that, the singularity can not form at the center if the equation of state satisfies some increasing and causal conditions and the initial distributions of mass-energy density and velocity are suitable. The dynamical equations can even automatically remove the weak singularity in the initial data. The analysis may give some insights into the structure of a star and the nature of the black hole.
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