<math display="inline"><mi>I</mi></math>-Love-<math display="inline"><mi>Q</mi></math>, and <math display="inline"><mi>δ</mi><mi>M</mi></math> too: The role of the mass in universal relations of compact stars

Aranguren, Eneko; Font, José A.; Sanchis-Gual, Nicolas; Vera, Raül

doi:10.1103/PhysRevD.110.084027

$I$ -Love- $Q$ , and $δ M$ too: The role of the mass in universal relations of compact stars

Jul 29, 2024

15 pages

Published in:

Phys.Rev.D 110 (2024) 8, 084027

Published: Oct 15, 2024

e-Print:

2407.20151 [gr-qc]

DOI:

10.1103/PhysRevD.110.084027 (publication)

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Abstract: (APS)

In the study of rotating neutron stars the

I

-Love-

Q

relations refer to the existence of various approximate, equation of state-independent relations involving the moment of inertia, the Love number and the quadrupole moment. These relations are relevant for observational astrophysics, since they allow (in theory) the inference of any two quantities within the

I

-Love-

Q

triad out of the third one alone. However, the quantities involved in the relations are, in fact, normalized by a parameter

M_{0}

that arises in the usual perturbative analytical approach as the mass of the background configuration. Since

M_{0}

is not the mass of the rotating star

M_{S}

, it is not an observational quantity, which may affect the application of the relations to actual observations. This situation is usually ignored in most studies by taking

M_{0}

to be the mass of the star, an approximation that can, in some cases, be inconsistent. In this paper we extract the value of

M_{0}

using an extended version of the universal relations that involves a fourth parameter,

δ M

, proportional to the difference

M_{S} - M_{0}

. We analyze to which degree this extended set of relations yields a more precise inference of compact star properties and equation of state parameters.

Note:

15 pages, 6 figures, 4 tables

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Figures(6)

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