On the limiting mass of a dense stellar matter

Details On the limiting mass of a dense stellar matter On the limiting mass of a dense stellar matter

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980acaau...7..209s&link_type=abstract

Acta Astronautica, vol. 7, Feb. 1980, p. 209-217.

Astronomy and Astrophysics

Astrophysics

2

Density (Mass/Volume), Stellar Mass, Stellar Structure, Thomas-Fermi Model, Equations Of State, Equilibrium Equations, Relativistic Theory

Scientific paper

The problem of the limiting mass of dense stars of uniform density is addressed by introducing the concept of nuclear size correction to the theory of the relativistic Thomas-Fermi model for a compressed atom, and obtaining a modified equation of state. The limiting value of the mass of dense stellar matter is found to be 4.738 solar masses, and it is shown that the present treatment provides satisfactory results for density ranges from 10 to the 8th to 10 to the 11th g/cu cm. In addition, the theory of polytropic gas spheres is applied in order to obtain non-relativistic mass limits of dense stellar matter. Also discussed are astrophysical implications of the results, relating to gravitational collapse, stellar implosion, and the degenerate state.

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