Third-Order Corrections and Mass-Shedding Limit of Rotating Neutron Stars Computed By a Complex-Plane Strategy

Ioannis  Sfaelos; Vassilis  Geroyannis

doi:10.4236/ijaa.2012.24027

Ioannis Sfaelos, Vassilis Geroyannis

Abstract: We implement the so-called “complex-plane strategy” for computing general-relativistic polytropic models of uniformly rotating neutron stars. This method manages the problem by performing all numerical integrations, required within the framework of Hartle’s perturbation method, in the complex plane. We give emphasis on computing corrections up to third order in the angular velocity, and the mass-shedding limit. We also compute the angular momentum, moment of inertia, rotational kinetic energy, and gravitational potential energy of the models considered.

Keywords: General-Relativistic Polytropic Models; Hartle’s Perturbation Method; Neutron Stars; Numerical Methods; Mass-Shedding Limit

Cite this paper: I. Sfaelos and V. Geroyannis, "Third-Order Corrections and Mass-Shedding Limit of Rotating Neutron Stars Computed By a Complex-Plane Strategy," International Journal of Astronomy and Astrophysics, Vol. 2 No. 4, 2012, pp. 210-217. doi: 10.4236/ijaa.2012.24027.

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