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We study tidal effects on self-gravitating Newtonian stars rotating around a Kerr black hole in stable circular orbits away from the equatorial plane. Such cases are exemplified by a non-vanishing Carter's constant. Here, we calculate the…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Pritam Banerjee , Suvankar Paul , Rajibul Shaikh , Tapobrata Sarkar

Due to the tidal forces that a black hole can produce, certain types of compact objects may undergo disruption as they approach the black hole. This disruption point is known as the Roche limit (or Roche radius). In this work, we studied…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Marcos V. de S. Silva

Tidal disruptions of stars on the equatorial plane orbiting Kerr black holes have been widely studied. However thus far, there have been fewer studies of stars in inclined precessing orbits around a Kerr black hole. In this paper, we use…

High Energy Astrophysical Phenomena · Physics 2024-07-08 Matteo Stockinger , Masaru Shibata

We present a semi-analytic study of the equilibrium models of close binary systems containing a fluid star (mass $m$ and radius $R_0$) and a Kerr black hole (mass $M$) in circular orbit. We consider the limit $M\gg m$ where spacetime is…

Astrophysics · Physics 2016-08-30 Paul Wiggins , Dong Lai

The end stage of a gravitational collapse process can generically result in a black hole or a naked singularity. Here we undertake a comparative analysis of the nature of tidal forces in these backgrounds. The effect of such forces is…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Akash Goel , Reevu Maity , Pratim Roy , Tapobrata Sarkar

[abbreviated] We consider the problem of tidal disruption of a star by a super-massive Kerr black hole. Using a numerically fast Lagrangian model of the tidally disrupted star we survey the parameter space of the problem and find the…

Astrophysics · Physics 2009-11-11 P. B. Ivanov , M. A. Chernyakova

We propose an approximate approach for studying the relativistic regime of stellar tidal disruptions by rotating massive black holes. It combines an exact relativistic description of the hydrodynamical evolution of a test fluid in a fixed…

High Energy Astrophysical Phenomena · Physics 2017-05-26 Emilio Tejeda , Emanuel Gafton , Stephan Rosswog , John C. Miller

A supermassive black hole can disrupt a star when its tidal field exceeds the star's self-gravity, and can directly capture stars that cross its event horizon. For black holes with mass M > 10^7 solar masses, tidal disruption of…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-26 Michael Kesden

We calculate the energy and angular momentum fluxes across the event horizon of a tidally deformed, rapidly rotating black hole to next-to-leading order in the curvature of the external spacetime. These are expressed in terms of tidal…

General Relativity and Quantum Cosmology · Physics 2017-02-21 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

We calculate the linear vacuum perturbations of a Kerr black hole surrounded by a slowly-varying external spacetime to third order in the ratio of the black-hole mass to the radius of curvature of the external spacetime. This expansion…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

The rates at which the mass and angular momentum of a small black hole change as a result of a tidal interaction with a much larger black hole are calculated to leading order in the small mass ratio. The small black hole is either rotating…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Simon Comeau , Eric Poisson

In the first part of this article I determine the geometry of a slowly rotating black hole deformed by generic tidal forces created by a remote distribution of matter. The metric of the deformed black hole is obtained by integrating the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Eric Poisson

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

A star orbiting a supermassive black hole can be tidally disrupted if the black hole's gravitational tidal field exceeds the star's self gravity at pericenter. Some of this stellar tidal debris can become gravitationally bound to the black…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 Michael Kesden

We study the tidal effects of a Kerr black hole on a neutron star in black hole-neutron star binary systems using a semi-analytical approach which describes the neutron star as a deformable ellipsoid. Relativistic effects on the neutron…

Astrophysics · Physics 2010-03-18 V. Ferrari , L. Gualtieri , F. Pannarale

We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , David Pereñiguez , Maarten van de Meent

We consider tidal encounters between a white dwarf and an intermediate mass black hole. Both weak encounters and those at the threshold of disruption are modeled. The numerical code combines mesh-based hydrodynamics, a spectral method…

General Relativity and Quantum Cosmology · Physics 2013-05-10 Roseanne M. Cheng , Charles R. Evans

We examine the gyration motion of a charged particle, viewed from a reference observer falling along the Z axis into a Schwarzschild black hole. It is assumed that the magnetic field is constant and uniform along the Z axis, and that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yasufumi Kojima , Kentaro Takami

The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Filippo Camilloni , Gianluca Grignani , Troels Harmark , Roberto Oliveri , Marta Orselli , Daniele Pica

The open question of whether a Kerr black hole can become tidally deformed or not has profound implications for fundamental physics and gravitational-wave astronomy. We consider a Kerr black hole embedded in a weak and slowly varying, but…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin
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