Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978anihp..28..399s&link_type=abstract
Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 28, May 16-June 30, 1978, p. 399-405.
Astronomy and Astrophysics
Astronomy
3
Black Holes (Astronomy), Gravitational Collapse, Stellar Evolution, Field Theory (Physics), Inflection Points, Pulsars, Relativity, Schwarzschild Metric, Stellar Motions
Scientific paper
The gravitational collapse of a star is analyzed from the viewpoint of a test particle in the star rather than an observer outside the star. The effective force field that acts on a test body, according to general relativity, is in terms of the nonpositive-definite affine connection that represents the geometrical features of the remainder of the star acting on the test body. Thus, the collection of terms that make up this net force field could be attractive under some conditions, and there is the possibility that contraction would alternate with expansion. On the basis of the Schwarzschild interior solution it is found that the inflection points of a test body would occur at 1/2 the gravitational radius of the star. Thus it appears unlikely that most stars would ever reach the black hole state of stellar collapse because of the predominance of an effective repulsive force after a sufficiently small radius is reached. Two possible exceptions are discussed.
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