Consistent crust-core interpolation and its effect on non-radial neutron star oscillations

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Autori principali: Canullan-Pascual, Martin O., Mariani, Mauro, Ranea-Sandoval, Ignacio F., Orsaria, Milva G., Weber, Fridolin
Natura: Preprint
Pubblicazione: 2025
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author Canullan-Pascual, Martin O.
Mariani, Mauro
Ranea-Sandoval, Ignacio F.
Orsaria, Milva G.
Weber, Fridolin
author_facet Canullan-Pascual, Martin O.
Mariani, Mauro
Ranea-Sandoval, Ignacio F.
Orsaria, Milva G.
Weber, Fridolin
contents To model the structure of neutron stars (NSs) theoretically,it is common to consider layers with different density regimes. Matching the equation of state (EoS) for the crust and core and obtaining a suitable description of these extreme conditions are crucial for understanding the properties of these compact objects. In this work, we construct ten different NS EoSs incorporating three distinct crust models, which are connected to the core using a thermodynamically and causally consistent formalism. For cold NSs, we propose a linear relationship between pressure and energy density in a narrow region between the crust and core, effectively establishing an interpolation function in the pressure-baryonic chemical potential plane. We then compare this EoS matching method with the classical approach, which neglects causal and thermodynamic consistency. We solve the Tolman-Oppenheimer-Volkoff equation to obtain the mass-radius relationship and compare our results with observational constraints on NSs. Furthermore, we investigate the influence of the new matching formalism on non-radial oscillation frequencies and damping times. Our findings suggest that the method used to glue the crust and core EoS impacts NS observables, such as the radius, oscillation frequencies, and damping times of non-radial modes, which may be crucial for interpreting future gravitational wave observations from neutron star mergers or isolated pulsars. The effects are particularly noticeable for low-mass NSs, regardless of the specific EoS model chosen. In particular, we find that the $p_1$ oscillation mode exhibits significant differences in frequencies among alternative matching methods, whereas the fundamental $f$-mode remains unaffected by changes in crust models or interpolation schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02373
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Consistent crust-core interpolation and its effect on non-radial neutron star oscillations
Canullan-Pascual, Martin O.
Mariani, Mauro
Ranea-Sandoval, Ignacio F.
Orsaria, Milva G.
Weber, Fridolin
High Energy Astrophysical Phenomena
To model the structure of neutron stars (NSs) theoretically,it is common to consider layers with different density regimes. Matching the equation of state (EoS) for the crust and core and obtaining a suitable description of these extreme conditions are crucial for understanding the properties of these compact objects. In this work, we construct ten different NS EoSs incorporating three distinct crust models, which are connected to the core using a thermodynamically and causally consistent formalism. For cold NSs, we propose a linear relationship between pressure and energy density in a narrow region between the crust and core, effectively establishing an interpolation function in the pressure-baryonic chemical potential plane. We then compare this EoS matching method with the classical approach, which neglects causal and thermodynamic consistency. We solve the Tolman-Oppenheimer-Volkoff equation to obtain the mass-radius relationship and compare our results with observational constraints on NSs. Furthermore, we investigate the influence of the new matching formalism on non-radial oscillation frequencies and damping times. Our findings suggest that the method used to glue the crust and core EoS impacts NS observables, such as the radius, oscillation frequencies, and damping times of non-radial modes, which may be crucial for interpreting future gravitational wave observations from neutron star mergers or isolated pulsars. The effects are particularly noticeable for low-mass NSs, regardless of the specific EoS model chosen. In particular, we find that the $p_1$ oscillation mode exhibits significant differences in frequencies among alternative matching methods, whereas the fundamental $f$-mode remains unaffected by changes in crust models or interpolation schemes.
title Consistent crust-core interpolation and its effect on non-radial neutron star oscillations
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2502.02373