Physics
Scientific paper
Sep 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980anihp..33..205l&link_type=abstract
Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 33, Aug. 16-Sept. 30, 1980, p. 205-208.
Physics
1
Gravitational Collapse, Stellar Evolution, Stellar Gravitation, Einstein Equations, Schwarzschild Metric, Stellar Models
Scientific paper
A comment is presented concerning the paper of Sachs (1978) which predicts oscillatory stellar contractions rather than a continuous collapse into the black hole limit. Consideration is given to the Schwarzschild interior solution for the Einstein equation determining the motion of a test particle under the influence of the gravitational field of a distribution of matter for the cases of a particle moving radially inward inside the star towards a turning point due to gravitational repulsion, and the collapsing star as a whole. It is shown that, in the first case the gravitational radius of the star must be on the order of the radial distance at which outward motion starts, which is highly unlikely, and in the second case it is impossible for the entire star to bounce back. It is thus concluded that if the Schwarzschild interior solution is applicable at inflection points at which contraction stops and expansion begins, a turning point for stellar contraction can never be reached and the star will continue to collapse to the limit.
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