Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies

Abstract The composition and equation of state (EoS) of dense matter relevant to compact stars are quite inconclusive. However, certain observational constraints on the structural properties of compact stars help us constrain the EoS to a fair extent. Moreover, gravitational asteroseismology gives a...

Full description

Saved in:
Bibliographic Details
Main Authors: Atanu Guha, Debashree Sen, Chang Ho Hyun
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14183-0
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849709678862270464
author Atanu Guha
Debashree Sen
Chang Ho Hyun
author_facet Atanu Guha
Debashree Sen
Chang Ho Hyun
author_sort Atanu Guha
collection DOAJ
description Abstract The composition and equation of state (EoS) of dense matter relevant to compact stars are quite inconclusive. However, certain observational constraints on the structural properties of compact stars help us constrain the EoS to a fair extent. Moreover, gravitational asteroseismology gives a notion of the composition and EoS of compact stars. The next generation gravitational wave (GW) detectors are likely to detect several oscillation mode frequencies of the GWs. In this work we compute the fundamental (f) and the first pressure ( $$p_1$$ p 1 ) mode frequencies ( $$f_f$$ f f and $$f_{p1}$$ f p 1 , respectively) with different compositions viz., hadronic, quark, and hybrid star (HS) matter. For HSs, we also study the gravity (g) mode frequency ( $$f_g$$ f g ). For each phase we also study the correlation between the oscillation frequencies of 1.4 $$M_{\odot }$$ M ⊙ and 2.01 $$M_{\odot }$$ M ⊙ compact stars with other different properties. We find that various possible composition of compact stars substantially affects the oscillation frequencies. However, the mass-scaled angular f mode frequency ( $$\omega _f M$$ ω f M ) varies universally with compactness (C) for all hadronic, quark and hybrid stars. The f mode frequency ( $$f_{f_{1.4}}$$ f f 1.4 ) of the canonical 1.4 $$M_{\odot }$$ M ⊙ compact star, obtained with different composition, is quite correlated with the canonical radius ( $$R_{1.4}$$ R 1.4 ) and tidal deformability ( $$\varLambda _{1.4}$$ Λ 1.4 ) while $$f_{p_{1.4}}$$ f p 1.4 is well correlated with slope parameter of the symmetry energy. We also show that $$f_{g_{1.4}}$$ f g 1.4 of the HSs varies almost linearly with $$\varLambda _{1.4}$$ Λ 1.4 . Should g modes be detected, they could not only support the existence of HSs, but $$f_g$$ f g could be useful to understand the strength of quark repulsion in HSs.
format Article
id doaj-art-e034904b683747f8a07b3e516bcbcf88
institution DOAJ
issn 1434-6052
language English
publishDate 2025-04-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-e034904b683747f8a07b3e516bcbcf882025-08-20T03:15:12ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411910.1140/epjc/s10052-025-14183-0Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequenciesAtanu Guha0Debashree Sen1Chang Ho Hyun2Department of Physics, Chungnam National UniversityCenter for Extreme Nuclear Matters (CENuM), Korea UniversityDepartment of Physics Education, Daegu UniversityAbstract The composition and equation of state (EoS) of dense matter relevant to compact stars are quite inconclusive. However, certain observational constraints on the structural properties of compact stars help us constrain the EoS to a fair extent. Moreover, gravitational asteroseismology gives a notion of the composition and EoS of compact stars. The next generation gravitational wave (GW) detectors are likely to detect several oscillation mode frequencies of the GWs. In this work we compute the fundamental (f) and the first pressure ( $$p_1$$ p 1 ) mode frequencies ( $$f_f$$ f f and $$f_{p1}$$ f p 1 , respectively) with different compositions viz., hadronic, quark, and hybrid star (HS) matter. For HSs, we also study the gravity (g) mode frequency ( $$f_g$$ f g ). For each phase we also study the correlation between the oscillation frequencies of 1.4 $$M_{\odot }$$ M ⊙ and 2.01 $$M_{\odot }$$ M ⊙ compact stars with other different properties. We find that various possible composition of compact stars substantially affects the oscillation frequencies. However, the mass-scaled angular f mode frequency ( $$\omega _f M$$ ω f M ) varies universally with compactness (C) for all hadronic, quark and hybrid stars. The f mode frequency ( $$f_{f_{1.4}}$$ f f 1.4 ) of the canonical 1.4 $$M_{\odot }$$ M ⊙ compact star, obtained with different composition, is quite correlated with the canonical radius ( $$R_{1.4}$$ R 1.4 ) and tidal deformability ( $$\varLambda _{1.4}$$ Λ 1.4 ) while $$f_{p_{1.4}}$$ f p 1.4 is well correlated with slope parameter of the symmetry energy. We also show that $$f_{g_{1.4}}$$ f g 1.4 of the HSs varies almost linearly with $$\varLambda _{1.4}$$ Λ 1.4 . Should g modes be detected, they could not only support the existence of HSs, but $$f_g$$ f g could be useful to understand the strength of quark repulsion in HSs.https://doi.org/10.1140/epjc/s10052-025-14183-0
spellingShingle Atanu Guha
Debashree Sen
Chang Ho Hyun
Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
European Physical Journal C: Particles and Fields
title Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
title_full Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
title_fullStr Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
title_full_unstemmed Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
title_short Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars: calculation of f, p, and g mode frequencies
title_sort non radial oscillations of hadronic neutron stars quark stars and hybrid stars calculation of f p and g mode frequencies
url https://doi.org/10.1140/epjc/s10052-025-14183-0
work_keys_str_mv AT atanuguha nonradialoscillationsofhadronicneutronstarsquarkstarsandhybridstarscalculationoffpandgmodefrequencies
AT debashreesen nonradialoscillationsofhadronicneutronstarsquarkstarsandhybridstarscalculationoffpandgmodefrequencies
AT changhohyun nonradialoscillationsofhadronicneutronstarsquarkstarsandhybridstarscalculationoffpandgmodefrequencies