Universal and approximate relations for the gravitational-wave damping timescale of f-modes in neutron stars

被引：0
作者：
Georgios Lioutas
Nikolaos Stergioulas
机构：
[1] Ludwig-Maximilians-Universität,Arnold Sommerfeld Center for Theoretical Physics, Faculty of Physics
[2] Aristotle University of Thessaloniki,Department of Physics
来源：
General Relativity and Gravitation | 2018年 / 50卷
关键词：
Gravitational waves; f-mode; Damping time; Approximate relation; Neutron stars;
D O I：
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学科分类号：
摘要：
Existing estimates of the gravitational-wave damping timescale of the dominant quadrupole oscillation mode in the case of rapidly rotating stars are based on using a Newtonian estimate for the energy of the mode, in combination with the lowest-order post-Newtonian quadrupole formula for estimating the gravitational-wave luminosity. We investigate a number of other choices for estimating the gravitational-wave damping timescale in the nonrotating limit and construct a highly accurate, empirically corrected formula that has a maximum relative error of only 3% with respect to the perturbative result in full general relativity. The expressions involved are sufficiently general to be extended to the case of rapidly rotating stars. We also present a new higher-order empirical relation for the gravitational-wave damping timescale of quadrupole oscillations that is accurate in the whole range of expected values for the compactness of neutron stars, without the need for involving the moment of inertia.
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