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Based on a general variational principle, Noether's theorem is revisited. It is shown that the so called pseudotensor problem of the gravitational energy-momentum is a result of mis-reading Noether's theorem, and in fact, all the Noether's…

General Relativity and Quantum Cosmology · Physics 2013-11-11 Zhaoyan Wu

We develop a fully relativistic approach for determining the response of a compact star to a time/frequency dependent (tidal) environment. The strategy involves matching the solution for the linearised fluid dynamics in the star's interior…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Nils Andersson , Rhys Counsell , Fabian Gittins , Suprovo Ghosh

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

In the standard form of the relativistic heat equation used in astrophysics, information propagates instantaneously, rather than being limited by the speed of light as demanded by relativity. We show how this equation nonetheless follows…

High Energy Astrophysical Phenomena · Physics 2018-07-13 S. K. Lander , N. Andersson

We study the effect of superfluidity on the tidal response of a neutron star in a general relativistic framework. In this work, we take a dual-layer approach where the superfluid matter is confined in the core of the star. Then, the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sayak Datta , Prasanta Char

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We examine the relevance of tidal heating for large Trans-Neptunian Objects, with a focus on its potential to melt and maintain layers of subsurface liquid water. Depending on their past orbital evolution, tidal heating may be an important…

Earth and Planetary Astrophysics · Physics 2017-12-20 Prabal Saxena , Joe Renaud , Wade G. Henning , Martin Jutzi , Terry Hurford

Quasi-universal relations are known to exist among various neutron star observables that do not depend sensitively on the underlying nuclear matter equations of state. For example, some of these relations imply that the tidally induced…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Takuya Katagiri , Gowtham Rishi Mukkamala , Kent Yagi

We compare Newtonian and general relativistic descriptions of the stationary accretion of self-gravitating fluids onto compact bodies. Spherical symmetry and thin gas approximation are assumed. Luminosity depends, amongst other factors, on…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Edward Malec , Tomasz Rembiasz

Tidal deformabilities are one of the observable quantities characterizing neutron stars, which are strongly associated with the stellar compactness, the ratio of the stellar mass to the radius. In addition to the tidal deformability, the…

High Energy Astrophysical Phenomena · Physics 2026-02-24 Hajime Sotani

Within the cold dark matter (CDM) framework tidal dwarf galaxies (TDGs) cannot contain dark matter, so the recent results by Bournaud et al. (2007) that 3 rotating TDGs do show significant evidence for being dark matter dominated is…

Astrophysics · Physics 2009-11-13 G. Gentile , B. Famaey , F. Combes , P. Kroupa , H. S. Zhao , O. Tiret

We discuss the underlying relativistic physics which causes neutron stars to compress and collapse in close binary systems as has recently been observed in numerical (3+1) dimensional general relativistic hydrodynamic simulations. We show…

General Relativity and Quantum Cosmology · Physics 2016-08-25 G. J. Mathews , P. Marronetti , J. R. Wilson

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

This report is a review of Darwin's classical theory of bodily tides in which we present the analytical expressions for the orbital and rotational evolution of the bodies and for the energy dissipation rates due to their tidal interaction.…

Astrophysics · Physics 2009-06-19 Sylvio Ferraz-Mello , Adrián Rodríguez , Hauke Hussmann

Thermal atmospheric tides have a strong impact on the rotation of terrestrial planets. They can lock these planets into an asynchronous rotation state of equilibrium. We aim at characterizing the dependence of the tidal torque resulting…

Earth and Planetary Astrophysics · Physics 2019-04-10 Pierre Auclair-Desrotour , Jérémy Leconte , Cyril Mergny

Time-dependent insolation in a planetary atmosphere induces a mass quadrupole upon which the stellar tidal acceleration can exert a force. This "thermal tide" force can give rise to secular torques on the planet and orbit as well as radial…

Earth and Planetary Astrophysics · Physics 2009-01-21 Phil Arras , Aristotle Socrates

Tidal effects have an important impact on the late inspiral of compact binary systems containing neutron stars. Most current models of tidal deformations of neutron stars assume that the tidal bulge is directly related to the tidal field…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Jan Steinhoff , Tanja Hinderer , Alessandra Buonanno , Andrea Taracchini

Accurately modeling the tidal response of neutron stars is crucial to connecting gravitational wave observations of binaries to ultra-dense nuclear physics. Most current models of the tidal response of relativistic stars either assume a…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

Within scalar-tensor (ST) theories, neutron stars in binary systems experience tidal deformations caused by both their companion and the scalar field. These deformations are strongly correlated to the star's internal structure and…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Eve Dones , Laura Bernard