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We construct analytic models of incompressible, rigidly rotating stars in PN gravity and study their stability against nonaxisymmetric Jacobi-like bar modes. PN configurations are modeled by homogeneous triaxial ellipsoids and the metric is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. L. Shapiro , S. Zane

We study models of uniformly and differentially rotating neutron stars in the framework of post-Newtonian approximation in general relativity as established by Chandrasechar. In particular, we adopt the polytropic equation of state in order…

High Energy Astrophysical Phenomena · Physics 2023-05-05 Athanasios Fotopoulos , Vasileios G. Karageorgopoulos , Vassilis S. Geroyannis

We study the importance of hydrodynamic effects on the evolution of coalescing binary neutron stars. Using an approximate energy functional constructed from equilibrium solutions for polytropic binary configurations, we incorporate…

Astrophysics · Physics 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

In this work, we investigate the influence of the phase transition and a stiffer fluid in neutron stars' cores on the static equilibrium configuration, dynamical stability, and tidal deformability. For this aim, it is taken into account…

High Energy Astrophysical Phenomena · Physics 2023-03-29 José D. V. Arbañil , Lucas S. Rodrigues , César H. Lenzi

We study adiabatic, radial perturbations of static, self-gravitating perfect fluids within the theory of general relativity employing a new perturbative formalism. We show that by considering a radially static observer, the description of…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Paulo Luz , Sante Carloni

When the chemical re-equilibration timescale is sufficiently long, the normal and quasi-normal mode frequencies of neutron stars should be calculated in the idealized limit that the internal composition of each fluid element is fixed over…

Nuclear Theory · Physics 2025-02-27 Gabriele Montefusco , Marco Antonelli , Francesca Gulminelli

The linear hydrodynamic stability of proto-neutron stars (PNSs) is considered taking into account dissipative processes such as neutrino transport and viscosity. We obtain the general instability criteria which differ essentially from the…

Astrophysics · Physics 2016-08-30 Juan A. Miralles , Jose A. Pons , V. Urpin

Thermodynamical stability of fluid spheres is studied in the presence of a cosmological constant, both in the Newtonian limit, as well as in General Relativity. In all cases, an increase of the cosmological constant tends to stabilize the…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Zacharias Roupas

The influence of the uncertainties of the equation of state empirical parameters on the neutron stars crust-core phase transition is explored within a meta-modeling approach, in which the energy per particle is expanded as a Taylor series…

Nuclear Theory · Physics 2019-09-04 Sofija Antic , Debarati Chatterjee , Thomas Carreau , Francesca Gulminelli

Within the liquid drop model built up with the nuclear interaction parametrization Sk$\chi$450, which is based on the chiral effective field theory, we calculate numerically the internal energy density for each of nuclear pasta phases and…

Nuclear Theory · Physics 2025-09-15 Dmitry Kobyakov , Xavier Viñas

A general force-perturbation-based criterion for solid instability is proposed, which can predict instability including crease without priori knowledge of instability configuration. The crease instability is analyzed in detail, we found…

Soft Condensed Matter · Physics 2020-01-01 Pengfei Yang , Yaopeng Fang , Yanan Yuan , Shun Meng , Haroon Imtiaz , Bin Liu , Huajian Gao

Various approaches to quantum gravity suggest that the fundamental volume of the phase space of the given space for representative points, means !0, should be modified. In this paper, we study the effects of this modification on the…

General Physics · Physics 2013-10-17 Homa Shababi

A general thermodynamic argument shows that multi-component matter in full chemical equilibrium, with uniform entropy per baryon, is generally stably stratified. This is particularly relevant for neutron stars, in which the effects of…

Astrophysics · Physics 2009-10-31 Andreas Reisenegger

Neutron stars provide an excellent laboratory for physics under the most extreme conditions. Up to now, models of axisymmetric, stationary, differentially rotating neutron stars were constructed under the strong assumption of barotropicity,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Giovanni Camelio , Tim Dietrich , Miguel Marques , Stephan Rosswog

We investigate the structural, dynamical, and oscillatory properties of neutron stars admixed with dark matter, modeled via a single-fluid formalism where dark matter interacts with nuclear matter through an effective Higgs-portal coupling.…

High Energy Astrophysical Phenomena · Physics 2025-06-03 Ankit Kumar , Hajime Sotani

Recent studies suggest that coalescing neutron stars are subject to a fluid instability involving the nonlinear coupling of the tide to $p$-modes and $g$-modes. Its influence on the inspiral dynamics and thus the gravitational wave signal…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Reed Essick , Salvatore Vitale , Nevin N. Weinberg

We derive the equation for pressure within a neutron star, taking into account a non-zero cosmological constant ($\Lambda$). We then examine the stability of the neutron star's equilibrium state in the presence of cosmological constant. Our…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Naveen K. Singh , Gopal Kashyap

We discuss stability of dynamically collapsing gas spheres. We use a similarity solution for a dynamically collapsing sphere as the unperturbed state. In the similarity solution the gas pressure is approximated by a polytrope of $ P = K…

Astrophysics · Physics 2015-06-24 Tomoyuki Hanawa , Tomoaki Matsumoto

Based on the competition between $\gamma$-stable and $\gamma$-rigid collective motions mediated by a rigidity parameter, a two-parameter exactly separable version of the Bohr Hamiltonian is proposed. The $\gamma$-stable part of the…

Nuclear Theory · Physics 2015-06-19 R. Budaca , A. I. Budaca

The sensitivity of the stellar moment of inertia to the neutron-star matter equation of state is examined using accurately-calibrated relativistic mean-field models. We probe this sensitivity by tuning both the density dependence of the…

Nuclear Theory · Physics 2014-11-21 F. J. Fattoyev , J. Piekarewicz
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