General Relativistic Collapse of Non-Rotating, Axisymmetric Stars

Details General Relativistic Collapse of Non-Rotating, Axisymmetric Stars General Relativistic Collapse of Non-Rotating, Axisymmetric Stars

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982pthph..67.1396n&link_type=abstract

Progress of Theoretical Physics, Vol. 67, No. 5, pp. 1396-1405

Physics

34

Scientific paper

Numerical calculations have been made for the general relativisticcollapse of non-rotating, axisymmetric stars of 10M&sun;. Theinitial density of a star is about 3×1013g/cm^3. As anequation of state, we use γ (adiabatic index)=4/3 for ρ ≤ 3×1014g/cm^3 and γ → 2 for ρ → ∞. Both prolate and oblate collapse arecalculated. It is suggested that Schwarzschild back holes may beformed if U (the ratio of the initial internal energy to the initialgravitational energy) ≳ 2/3. If U ≲ 2/3, it is suggested that naked singularities may be formed for large initial deformation of stars.

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