Abstract

In this paper, we use the well-known Hartle’s perturbation method in order to compute models of differentially rotating neutron stars obeying realistic equations of state. In our numerical treatment, we keep terms up to third order in the angular velocity. We present indicative numerical results for models satisfying a particular differential rotation law. We emphasize on computing the change in mass owing to this differential rotation law.

Highlights

  • In [1] we have implemented the well-known Hartle’s perturbation method ([2,3,4]), by keeping terms up to third order in the angular velocity, to the computation of differentially rotating neutron stars simulated by generalrelativistic polytropic models (angular momentum, moment of inertia, rotational kinetic energy, and gravitational potential energy are quantities drastically corrected by the third-order approach)

  • We emphasize on computing the change in mass owing to this differential rotation law

  • In [1] we have implemented the well-known Hartle’s perturbation method ([2,3,4]), by keeping terms up to third order in the angular velocity, to the computation of differentially rotating neutron stars simulated by generalrelativistic polytropic models

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Summary

Introduction

In [1] we have implemented the well-known Hartle’s perturbation method ([2,3,4]), by keeping terms up to third order in the angular velocity, to the computation of differentially rotating neutron stars simulated by generalrelativistic polytropic models (angular momentum, moment of inertia, rotational kinetic energy, and gravitational potential energy are quantities drastically corrected by the third-order approach). We use the well-known Hartle’s perturbation method in order to compute models of differentially rotating neutron stars obeying realistic equations of state.

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