Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-11-17
Astron.Lett. 26 (2000) 772-778
Astronomy and Astrophysics
Astrophysics
12 pages, 0 figures (Astronomy Letters in press)
Scientific paper
10.1134/1.1331157
The total energy E of a star as a function of its angular momentum J and mass M in the Newtonian theory: E = E(J, M) [in general relativity, the gravitational mass M of a star as a function of its angular momentum J and rest mass m, M = M(J, m)], is used to determine the remaining parameters (angular velocity, equatorial radius, chemical potential, etc.) in the case of rigid rotation. Expressions are derived for the energy release during accretion onto a cool (with constant entropy), rapidly rotating neutron star (NS) in the Newtonian theory and in general relativity. A separate analysis is performed for the cases where the NS equatorial radius is larger and smaller than the radius of the marginally stable orbit in the disk plane. An approximate formula is proposed for the NS equatorial radius for an arbitrary equation of state, which matches the exact one at J = 0.
Sibgatullin Nail
Sunyaev Rachid
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