Behavior of the Central Region of a Collapsing Star with Spherical Symmetry and Pressure Gradient

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The behavior of the central region of a collapsing star with spherical symmetry and a finite pressure gradient is studied from the standpoint of boundary conditions at the center r=0. In the case of adiabatic collapse, Einstein's equations supplemented by an equation of state are reduced to four independent equations for five unknown functions of the time variable t only. This arbitrariness is analogous to that in the selection of initial Cauchy data at t=0 in the Misner-Sharp approach and it enables us to construct a variety of models for the central region regular at all times. We also touch upon the case of non-adiabatic collapse by introducing a suitable parameter whose reciprocal stands for the time-scale of the energy flow near r=0.
理論物理学刊行会の論文
1966-05-25

著者

Nariai Hidekazu
Research Institute For Theorerical Physics Hiroshima University
Nariai H.
Research Institute for Theoretical Physics Hiroshima University

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Behavior of the Central Region of a Collapsing Star with Spherical Symmetry and Pressure Gradient

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