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Thorne elucidated that the relativistic tidal heating is the same as the Newtonian theory. Moreover, Thorne also claimed that the tidal heating is independent of how one localizes gravitational energy and is unambiguously given by a certain…

General Relativity and Quantum Cosmology · Physics 2015-10-01 Lau Loi So

In his study of tidal stabilization of fully relativistic neutron stars Thorne showed that the fully relativistic expression for tidal heating is the same as in non-relativistic Newtonian theory. Furthermore, Thorne also noted that this…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Lau Loi So

In 1998 Thorne claimed that all pseudotensors give the same tidal work as the Newtonian theory. In 1999, Purdue used the Landau-Lifshitz pseudotensor to calculate the tidal heating and the result matched with the Newtonian gravity. Soon…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Lau Loi So

Purdue and Favata calculate the tidal heating used certain classical pseudotensors. Booth and Creighton employed the quasi-local mass formalism of Brown and York to demonstrate the same subject. All of them give the result matched with the…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Lau Loi So

When a self-gravitating body (e.g., a neutron star or black hole) interacts with an external tidal field (e.g., that of a binary companion), the interaction can do work on the body, changing its mass-energy. The details of this "tidal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patricia Purdue

In 1985 Thorne and Hartle used the Landau-Lifshitz pseudotensor to demonstrate the tidal heating and angular momentum flux for a black hole. Later in 2004, Poisson used the gravitational perturbation method to study a black hole and…

General Relativity and Quantum Cosmology · Physics 2019-12-30 Lau Loi So

We consider possible perturbations of the black hole event horizon induced by matter with spin, extending the derivation of the Hawking-Hartle formula (tidal heating) in the presence of torsion. When specialised to theories with a…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Sudipta Hensh , Stefano Liberati , Vincenzo Vitagliano

In recent work we constructed completely general conservation laws for energy and linear and angular momentum of extended systems in general relativity based on the notion of a rigid quasilocal frame (RQF). We argued at a fundamental level…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Paul L. McGrath , Melanie Chanona , Richard J. Epp , Michael J. Koop , Robert B. Mann

It is shown analytically that an external tidal gravitational field increases the secular stability of a fully general relativistic, rigidly rotating neutron star that is near marginal stability, protecting it against gravitational…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Kip S. Thorne

We present a scattering amplitude formalism to study the tidal heating effects of nonspinning neutron stars incorporating both worldline effective field theory and relativistic stellar perturbation theory. In neutron stars, tidal heating…

General Relativity and Quantum Cosmology · Physics 2024-12-09 M. V. S. Saketh , Zihan Zhou , Suprovo Ghosh , Jan Steinhoff , Debarati Chatterjee

It has been discussed whether viscous processes in neutron star matter during a binary inspiral can damp out the tidal energy induced by the companion and heat up the star. Earlier investigations concluded that this tidal heating is…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Suprovo Ghosh , Bikram Keshari Pradhan , Debarati Chatterjee

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolás Yunes

We calculate tidal torque due to semi-diurnal thermal tides in rotating hot Jupiters, taking account of the effects of radiative cooling in the envelope and of the planets rotation on the tidal responses. We use a simple Jovian model…

Earth and Planetary Astrophysics · Physics 2019-07-10 Umin Lee , Daiki Murakami

It is well known that, when an external general relativistic (electric-type) tidal field E(t) interacts with the evolving quadrupole moment I(t) of an isolated body, the tidal field does work on the body (``tidal work'') -- i.e., it…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Marc Favata

Thermal tides can torque the atmosphere of hot Jupiters into asynchronous rotation, while these planets are usually assumed to be locked into spin-orbit synchronization with their host star. In this work, our goal is to characterize the…

Earth and Planetary Astrophysics · Physics 2018-06-06 Pierre Auclair-Desrotour , Jérémy Leconte

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

We examine the motion and tidal dynamics of a nonrotating black hole placed within a post-Newtonian external spacetime. The tidal perturbation created by the external environment is treated as a small perturbation. At a large distance from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephanne Taylor , Eric Poisson

We analyze the coupling between the internal degrees of freedom of neutron stars in a close binary, and the stars' orbital motion. Our analysis is based on the method of matched asymptotic expansions and is valid to all orders in the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Eanna E. Flanagan

We use a simple model consisting of energy-momentum tensor conservation and a Maxwell-Cattaneo equation for its viscous part to study nonlinear phenomena in a real relativistic fluid. We focus on new types of behavior without…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Esteban Calzetta

In this note, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Albert Huber
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