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Stability of hypermassive neutron stars with realistic rotation and entropy profiles

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arxiv 2403.05642 v1 pith:QBTPLJNJ submitted 2024-03-08 gr-qc astro-ph.HE

Nishad Muhammed , Matthew D. Duez , Pavan Chawhan , Noora Ghadiri , Luisa T. Buchman , Francois Foucart , Patrick Chi-Kit Cheong , Lawrence E. Kidder
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Harald P. Pfeiffer Mark A. Scheel
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classification gr-qcastro-ph.HE
keywords stabilityangularprofilesrotationequilibriamaximumneutronpoint
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Binary neutron star mergers produce massive, hot, rapidly differentially rotating neutron star remnants; electromagnetic and gravitational wave signals associated with the subsequent evolution depend on the stability of these remnants. Stability of relativistic stars has previously been studied for uniform rotation and for a class of differential rotation with monotonic angular velocity profiles. Stability of those equilibria to axisymmetric perturbations was found to respect a turning point criterion: along a constant angular momentum sequence, the onset of unstable stars is found at maximum density less than but close to the density of maximum mass. In this paper, we test this turning point criterion for non-monotonic angular velocity profiles and non-isentropic entropy profiles, both chosen to more realistically model post-merger equilibria. Stability is assessed by evolving perturbed equilibria in 2D using the Spectral Einstein Code. We present tests of the code's new capability for axisymmetric metric evolution. We confirm the turning point theorem and determine the region of our rotation law parameter space that provides highest maximum mass for a given angular momentum.

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Cited by 2 Pith papers

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  1. Magnetic effects on fundamental modes in rotating neutron stars with a purely toroidal magnetic field

    astro-ph.HE 2025-09 conditional novelty 6.0 of 10

    Even with both rotation and a toroidal magnetic field, neutron star fundamental-mode frequencies stay quasi-linear in compactness and T/|W|, with magnetization-dependent slopes, and the f_2f/f_F ratio can help constra...

  2. Axisymmetric stability of neutron stars as extreme rotators in massive scalar-tensor theory

    gr-qc 2025-02 conditional novelty 6.0 of 10

    Differentially rotating scalarized neutron stars with enormous angular momentum are axisymmetrically stable up to the turning point of their mass sequence, beyond which they collapse to black holes, confirming the tur...

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