A Limit for Gravitational Collapse
Abstract
Earlier, under certain simplifying assumptions, 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 massM reaches the critical value of the Scharzschild radiusR _{s}=2GM/c ^{2}, then, in a comoving 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. In particular, the very strong ‘hardcore’ repulsive interaction between the nucleons which has the range ∼0.4×10^{13} cm has been totally ignored. On taking into account this ‘hardcore’ repulsive interaction, it is found that no spherical object of massM g can collapse to a volume of radius smaller thanR _{min}=(1.68×10^{6})M ^{1/3} cm or to a density larger than ρ_{max}=5.0 × 10^{16} g cm^{3}. It has also been pointed out that objects of mass smaller thanM _{c}∼1.21×10^{33} g can not cross the Schwarzschild barrier and gravitationally collapse. The only course left to the objects of mass less thanM _{c}is to reach the equilibrium as either a white dwarf or a neutron star.
 Publication:

Astrophysics and Space Science
 Pub Date:
 April 1983
 DOI:
 10.1007/BF00656115
 Bibcode:
 1983Ap&SS..91..285T
 Keywords:

 Gravitational Collapse;
 Nuclear Interactions;
 Nucleons;
 Stellar Evolution;
 Schwarzschild Metric;
 Stellar Mass;
 Astrophysics