4.1 Article

Critical rotation of general-relativistic polytropic models simulating neutron stars: A post-Newtonian hybrid approximative scheme

Journal

NEW ASTRONOMY
Volume 39, Issue -, Pages 36-45

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.newast.2015.03.002

Keywords

Critical rotation; General-relativistic polytropic models; Neutron stars; Post-Newtonian approximation

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We develop a hybrid approximative scheme in the framework of the post-Newtonian approximation for computing general-relativistic polytropic models simulating neutron stars in critical rigid rotation. We treat the differential equations governing such a model as a complex initial value problem, and we solve it by using the so-called complex-plane strategy. We incorporate into the computations the complete solution for the relativistic effects, this issue representing a significant improvement with regard to the classical post-Newtonian approximation, as verified by extended comparisons of the numerical results. (C) 2015 Elsevier B.V. All rights reserved.

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