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Related papers: Dynamical stability of the modified Tolman VII sol…

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We study how the neutron-star equation of state affects the onset of the dynamical instability in the equations of motion for inspiraling neutron-star binaries near coalescence. A combination of relativistic effects and Newtonian tidal…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Dong Lai , Alan G. Wiseman

We model compact objects of known stellar mass and radius made of isotropic matter within Einstein's gravity. The interior solution describing hydrostatic equilibrium we are using throughout the manuscript corresponds to the Tolman IV exact…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Grigoris Panotopoulos

The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán

The gravitational wave emission from the merging binary neutron star system GW170817 arrived full of tidal information which can be used to probe the fundamental ultra-dense nuclear physics residing in these stars. In previous work, we used…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Zack Carson , Andrew W. Steiner , Kent Yagi

Neutron star is the ultimate testing place for the physics of dense nuclear matter. Before the detection of gravitational waves from the merger of binary neutron stars, various nuclear equations of state have been used to estimate the…

Nuclear Theory · Physics 2020-06-03 Young-Min Kim , Kyujin Kwak , Chang Ho Hyun , Hana Gil , Chang-Hwan Lee

Using an energy variational method, we calculate quasi-equilibrium configurations of binary neutron stars modeled as compressible triaxial ellipsoids obeying a polytropic equation of state. Our energy functional includes terms both for the…

Astrophysics · Physics 2009-10-30 James C. Lombardi , Frederic A. Rasio , Stuart L. Shapiro

We perform a detailed analysis of radial oscillations to discuss dynamical stability in two-fluid neutron stars composed of ordinary nuclear matter and a gravitationally coupled dark matter component. Using a fully relativistic two-fluid…

High Energy Astrophysical Phenomena · Physics 2025-09-05 Ankit Kumar , Hajime Sotani

Radial pulsations of newborn neutron stars (protoneutron stars) are studied for a range of internal temperatures and entropies per baryon predicted by the existing numerical simulations. Protoneutron star models are constructed using a…

Astrophysics · Physics 2008-11-26 D. Gondek , P. Haensel , J. L. Zdunik

We present a model of a slowly rotating Tolman VII (T-VII) fluid sphere, at second order in the angular velocity. The structure of this configuration is obtained by integrating the Hartle-Thorne equations for slowly rotating relativistic…

General Relativity and Quantum Cosmology · Physics 2023-06-08 Camilo Posada , Zdeněk Stuchlík

We discuss the stability and construct dynamical configurations describing the gravitational collapse of unstable neutron stars with realistic equations of state compatible with the recent LIGO-Virgo constraints. Unlike other works that…

General Relativity and Quantum Cosmology · Physics 2020-06-17 J. M. Z. Pretel , M. F. A. da Silva

Using nonlinear, fully relativistic, simulations we investigate the dynamics and gravitational-wave signature associated with instabilities in neutron star postmerger remnants. For simplified models of the remnant we establish the presence…

High Energy Astrophysical Phenomena · Physics 2020-09-02 Xiaoyi Xie , Ian Hawke , Andrea Passamonti , Nils Andersson

We extract new classes of anisotropic solutions in the framework of mimetic gravity, by applying the Tolman-Finch-Skea metric and a specific anisotropy not directly depending on it, and by matching smoothly the interior anisotropic solution…

General Relativity and Quantum Cosmology · Physics 2023-04-19 G. G. L. Nashed , Emmanuel N. Saridakis

The tidal measurement of gravitational waves from the binary neutron star merger event GW170817 allows us to probe nuclear physics that suffers less from astrophysical systematics compared to neutron star radius measurements with…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Zack Carson , Andrew W. Steiner , Kent Yagi

Using parametric equations of state (relativistic polytropes and a simple quark bag model) to model dense-matter phase transitions, we study global, measurable astrophysical parameters of compact stars such as their allowed radii and tidal…

High Energy Astrophysical Phenomena · Physics 2019-11-01 Magdalena Sieniawska , Władysław Turczański , Michał Bejger , Julian Leszek Zdunik

Within the context of Rastall gravity, we investigate the hydrostatic equilibrium and dynamical stability against radial pulsations of compact stars, where a free parameter $\beta$ measures the deviations from General Relativity (GR). We…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Juan M. Z. Pretel , Clésio E. Mota

The relativistic equations of hydrostatic equilibrium for a spherically symmetric star, or the Tolman-Oppenheimer-Volkoff equations are known in higher dimensions. In this paper, these equations have been expressed in terms of parameters of…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Manjari Bagchi

Neutron stars are compact, relativistic bodies that host several extremes of modern physics. An exciting development in recent years has been the opportunity to probe this exotic physics by observing compact-binary coalescences using…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Fabian Gittins , Nils Andersson , Shanshan Yin

We analyze several aspects of the recently noted neutron star collapse instability in close binary systems. We utilize (3+1) dimensional and spherical numerical general relativistic hydrodynamics to study the origin, evolution, and…

Astrophysics · Physics 2009-10-30 G. J. Mathews , J. R. Wilson

We study the dynamical stability against bar-mode deformation of rapidly spinning neutron stars with differential rotation. We perform fully relativistic 3D simulations of compact stars with $M/R \geq 0.1$, where $M$ is the total…

Astrophysics · Physics 2009-10-31 Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

In the context of linear $f(\mathcal{R},T)=\mathcal{R}+\chi T$ gravity, where $\mathcal{R}$ is the Ricci scalar, $T$ is the trace of the energy-momentum tensor, and $\chi$ is a dimensionless parameter, we have obtained exact analytical and…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Thomas D. Pappas , Camilo Posada , Zdeněk Stuchlík