A limit for gravitational collapse

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Collapse, Nuclear Interactions, Nucleons, Stellar Evolution, Schwarzschild Metric, Stellar Mass

Scientific paper

On the basis of the General Theory of Relativity, it has been concluded by many authors that when the radius of a gravitationally collapsing spherical object of mass M reaches the critical value of the Schwarzschild radius, then, in a co-moving frame, the object collapses catastrophically to a point. However, in drawing this conclusion due consideration has not been given to the nuclear forces between the nucleons. Taking into account the "hard-core" repulsive interaction, it is found that no spherical object of mass M g can collapse to a volume of radius smaller than 1.68×10-6 M1/3 cm or to a density larger than 5.0×1016 g cm-3. It has also been pointed out that objects of mass smaller than Mc ≡ 1.21×1033 g can not cross the Schwarzschild barrier and gravitationally collapse. The only course left to the objects of mass less than Mc is to reach the equilibrium as either a white dwarf or a neutron star.

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