Reconstruction of the neutron star equation of state from $w$-quasinormal modes spectra with a piecewise polytropic meshing and refinement method
Phys. Rev. D 99, 104005 (2019) In this paper we present a new approach to the inverse problem for relativistic stars using quasinormal modes and the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and refinement method that reconstructs...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
30.01.2019
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Subjects | |
Online Access | Get full text |
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Summary: | Phys. Rev. D 99, 104005 (2019) In this paper we present a new approach to the inverse problem for
relativistic stars using quasinormal modes and the piecewise polytropic
parametrization of the equation of state. The algorithm is a piecewise
polytropic meshing and refinement method that reconstructs the neutron star
equation of state from experimental data of the mass and the $wI$-quasinormal
modes. We present an algorithm able to numerically calculate axial quasinormal
modes of neutron stars in an efficient way. We use an initial mesh of $27440$
equations of state in a $4$-volume of piecewise polytropic parameters that
contains most of the candidate equations of state used today. The refinement
process drives us to the reconstruction of the equation of state with a certain
precision. Using the reconstructed equation of state, we calculate predictions
for tidal deformability and slow rotation parameters (moment of inertia and
quadrupole moment, for example).
In order to check the method with an explicit example, we use as input data a
few (five) configurations of a given equation of state. We reconstruct the
equation of state in a quite good approximation, and then we compare the curves
of physical parameters from the original equation of state and the
reconstructed one. We obtain a relative difference for all of the parameters
smaller than $2.5\%$ except for the tidal deformability, for which we obtain a
relative difference smaller than $6.5\%$. We also study constraints from
GW170817 event for the reconstructed equation of state. |
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DOI: | 10.48550/arxiv.1901.10851 |