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We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, are neutrally stratified and may contain a solid or fluid core. This problem may be regarded as a simplified model of…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gordon I. Ogilvie

The Tolman VII solution is an exact static spherically symmetric perfect fluid solution of Einstein's equations that exhibits a surprisingly good approximation to a neutron star. We show that this solution exhibits trapped null orbits in a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicholas Neary , Mustapha Ishak , Kayll Lake

Tidally distorted rotating stars and gaseous planets are subject to a well-known linear fluid instability -- the elliptical instability. It has been proposed that this instability might drive enough energy dissipation to solve the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Adrian J. Barker , Yoram Lithwick

We develop a numerical method for directly computing the dissipative dynamical tidal response of rapidly rotating, oblate stars and gaseous planets with realistic internal structures. Applying these calculations to neutrally and stably…

Earth and Planetary Astrophysics · Physics 2023-04-12 Janosz W. Dewberry

Gravitational wave measurements of binary neutron star coalescences offer information about the properties of the extreme matter that comprises the stars. Despite our expectation that all neutron stars in the Universe obey the same equation…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Katerina Chatziioannou , Carl-Johan Haster , Aaron Zimmerman

We study the impact of out-of-equilibrium, dissipative effects on the dynamics of inspiraling neutron stars. We find that modeling dissipative processes (such as those from the stars internal effective fluid viscosity) requires that one…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Justin L. Ripley , Abhishek Hegade K. R. , Nicolas Yunes

The role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a cold nonaccreted neutron star is studied using a set of unified equations of state. Based on the nuclear energy-density functional theory,…

Nuclear Theory · Physics 2019-10-30 Loic Perot , Nicolas Chamel , Aurélien Sourie

We present a new parametric class of spherically symmetric analytic solutions of the general relativistic field equations in canonical coordinates, which corresponds to causal models of perfect fluid balls. These solutions describe perfect…

General Relativity and Quantum Cosmology · Physics 2010-06-09 B. C. Tewari And Mamta Joshi Pant

We consider static neutron stars within the framework of $R^2$ gravity. The neutron fluid is described by three different types of realistic equations of state (soft, moderately stiff, and stiff). Using the observational data on the neutron…

General Relativity and Quantum Cosmology · Physics 2018-06-08 Vladimir Folomeev

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

For the analysis of gravitational-wave signals, fast and accurate gravitational-waveform models are required. These enable us to obtain information on the system properties from compact binary mergers. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Adrian Abac , Tim Dietrich , Alessandra Buonanno , Jan Steinhoff , Maximiliano Ujevic

We compute the internal modes of a nonspinning neutron star and its tidal metric perturbation in general relativity, and determine the effect of relativistic corrections to the modes on mode coupling. Claims have been made that a new…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Fatemeh Hossein Nouri , Sukanta Bose , Matthew D. Duez , Abhishek Das

We study small-amplitude, nonlinear pulsations of uniformly and differentially rotating neutron stars employing a two-dimensional evolution code for general-relativistic hydrodynamics. Using Fourier transforms at several points inside the…

Astrophysics · Physics 2009-11-10 Nikolaos Stergioulas , Theocharis A. Apostolatos , Jose A. Font

We consider the hydrodynamics of the outer core of a neutron star under conditions when both neutrons and protons are superfluid. Starting from the equation of motion for the phases of the wave functions of the condensates of neutron pairs…

Quantum Gases · Physics 2017-03-02 D. N. Kobyakov , C. J. Pethick

The gravitational-wave signal from inspiralling neutron-star--neutron-star (or black-hole--neutron-star) binaries will be influenced by tidal coupling in the system. An important science goal in the gravitational-wave detection of these…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Donato Bini , Thibault Damour , Guillaume Faye

The spectrum of radial oscillations of neutron stars is systematically studied within two frameworks of viscous relativistic hydrodynamics: the relativistic Navier-Stokes and Israel-Stewart theories. A correspondence is established between…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Raissa F. P. Mendes , Amanda Guerrieri , João V. M. Muniz , Gabriel S. Rocha , Gabriel S. Denicol

We describe a numerical method for calculating the (3+1) dimensional general relativistic hydrodynamics of a coalescing neutron-star binary system. The relativistic field equations are solved at each time slice with a spatial 3-metric…

General Relativity and Quantum Cosmology · Physics 2008-12-18 J. R. Wilson , G. J. Mathews , P. Marronetti

We apply linear response theory to a general, inhomogeneous, stationary stellar system, with particular emphasis on dissipative processes analogous to Landau damping. Assuming only that the response is causal, we show that the irreversible…

Astrophysics · Physics 2007-05-23 Robert W. Nelson , Scott Tremaine

We study the interaction of massless scalar fields with self-gravitating neutron stars by means of fully dynamic numerical simulations of the Einstein-Klein-Gordon perfect fluid system. Our investigation is restricted to spherical symmetry…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Florian Siebel , Jose A. Font , Philippos Papadopoulos

General relativistic superfluid neutron stars have a significantly more intricate dynamics than their ordinary fluid counterparts. Superfluidity allows different superfluid (and superconducting) species of particles to have independent…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. L. Comer , R. Joynt