On the mass-radius relation for neutron stars

Abhyankar, K. D. (1991) On the mass-radius relation for neutron stars Bulletin of the Astronomical Society of India, 19 . pp. 105-107. ISSN 0304-9523

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Official URL: http://adsabs.harvard.edu/abs/1991BASI...19..105A


The classical equation of state for a nonrelativistically degenerate gas containing free fermions gives an upper limit to the radius of a neutron star while the Schwarzschild radius gives the lower limit. The lower mass limit for a neutron star is given by the Oppenheimer-Volkoff solution. These three curves define a triangular region in the mass-radius plane which is available for a real neutron star. If the equation of state for interacting neutrons is represented by a polytropic relation, the region where neutron stars would be found can be delimited. Realistic values of the polytropic index give a mass between 1.8 and 2.8 M and radius between 10 and 11 km for the neutron star.

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