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Tidal deformations of hybrid stars with sharp phase transitions and elastic crusts

Tidal deformations of hybrid stars with sharp phase transitions and elastic crusts
Tidal deformations of hybrid stars with sharp phase transitions and elastic crusts

Gravitational wave astronomy is expected to provide independent constraints on neutron-star properties, such as their equation of state. This is possible with the measurements of binary components' tidal deformability, which alter the point-particle gravitational waveforms of neutron-star binaries. Here, we provide a first study of the tidal deformability effects due to the elasticity/solidity of the crust (hadronic phase) in a hybrid neutron star, as well as the influence of a quark-hadronic phase density jump on tidal deformations. We employ the framework of non-radial perturbations with zero frequency and study hadronic phases presenting elastic aspects when perturbed (with the shear modulus approximately 1% of the pressure). We find that the relative tidal deformation change in a hybrid star with a perfect-fluid quark phase and a hadronic phase presenting an elastic part is never larger than about 2%-4% (with respect to a perfect-fluid counterpart). These maximum changes occur when the elastic region of a hybrid star is larger than approximately 60% of the star's radius, which may happen when its quark phase is small and the density jump is large enough, or even when a hybrid star has an elastic mixed phase. For other cases, tidal deformation changes due to an elastic crust are negligible (10 -5-10 -1) and, therefore, unlikely to be measured even with third generation detectors. Thus, only when the size of the elastic hadronic region of a hybrid star is over half of its radius, could the effects of elasticity have a noticeable impact on tidal deformations.

1550-7998
Pereira, J.P.
d0461856-5302-410b-a35e-c53e951fd331
Beijger, M.
2a4c030e-d2cd-4f33-a13a-3d6c8665e5a1
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Gittins, Fabian
657ec875-fac3-4606-9dcd-591ef22fc9f6
Pereira, J.P.
d0461856-5302-410b-a35e-c53e951fd331
Beijger, M.
2a4c030e-d2cd-4f33-a13a-3d6c8665e5a1
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Gittins, Fabian
657ec875-fac3-4606-9dcd-591ef22fc9f6

Pereira, J.P., Beijger, M., Andersson, N. and Gittins, Fabian (2020) Tidal deformations of hybrid stars with sharp phase transitions and elastic crusts. Physical Review D, 895 (1), [28]. (doi:10.3847/1538-4357/ab8aca).

Record type: Article

Abstract

Gravitational wave astronomy is expected to provide independent constraints on neutron-star properties, such as their equation of state. This is possible with the measurements of binary components' tidal deformability, which alter the point-particle gravitational waveforms of neutron-star binaries. Here, we provide a first study of the tidal deformability effects due to the elasticity/solidity of the crust (hadronic phase) in a hybrid neutron star, as well as the influence of a quark-hadronic phase density jump on tidal deformations. We employ the framework of non-radial perturbations with zero frequency and study hadronic phases presenting elastic aspects when perturbed (with the shear modulus approximately 1% of the pressure). We find that the relative tidal deformation change in a hybrid star with a perfect-fluid quark phase and a hadronic phase presenting an elastic part is never larger than about 2%-4% (with respect to a perfect-fluid counterpart). These maximum changes occur when the elastic region of a hybrid star is larger than approximately 60% of the star's radius, which may happen when its quark phase is small and the density jump is large enough, or even when a hybrid star has an elastic mixed phase. For other cases, tidal deformation changes due to an elastic crust are negligible (10 -5-10 -1) and, therefore, unlikely to be measured even with third generation detectors. Thus, only when the size of the elastic hadronic region of a hybrid star is over half of its radius, could the effects of elasticity have a noticeable impact on tidal deformations.

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tidal_def_elastic_hyb_stars_amended - Accepted Manuscript
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More information

Accepted/In Press date: 15 April 2020
e-pub ahead of print date: 21 May 2020
Published date: May 2020
Additional Information: Publisher Copyright: © 2020. The American Astronomical Society. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

Identifiers

Local EPrints ID: 440931
URI: http://eprints.soton.ac.uk/id/eprint/440931
ISSN: 1550-7998
PURE UUID: a3257c1e-7b5e-492d-b167-09e4811ca29b
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843
ORCID for Fabian Gittins: ORCID iD orcid.org/0000-0002-9439-7701

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Date deposited: 22 May 2020 16:40
Last modified: 17 Mar 2024 04:09

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Contributors

Author: J.P. Pereira
Author: M. Beijger
Author: N. Andersson ORCID iD
Author: Fabian Gittins ORCID iD

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