Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..241k&link_type=abstract
Astrophysics and Space Science, vol. 57, no. 1, Aug. 1978, p. 241-243.
Astronomy and Astrophysics
Astronomy
2
Black Holes (Astronomy), Dynamic Stability, Gravitational Collapse, Neutron Stars, Stellar Mass, Baryons, Relativity, Space-Time Functions
Scientific paper
An upper mass limit for the dynamical stability of a nonrotating neutron star against gravitational collapse into a black hole is derived from the exact general-relativistic expression for the total energy of self-gravitating spherically distributed matter by using the minimum-energy principle. An expression for the critical baryon (neutron) number is obtained in terms of the neutron mass and the Newtonian gravitational constant. The maximum baryon number for a neutron star is determined as about 4.079 x 10 to the 57th power, and the corresponding gravitational mass (the upper mass limit) is found to be approximately 6.16 x 10 to the 33rd power g or 3.1 solar masses. It is noted that the present calculation is based on global energy considerations and might therefore be more relevant to the overall stability against collapse than considerations based on analysis of the local metric.
Krishan Vinod
Kumar Nirman
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