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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

A family of models of counterrotating and rotating relativistic thin discs of infinite extension based on a charged and magnetized Kerr-NUT metric are constructed using the well-known "displace, cut and reflect" method extended to solutions…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gonzalo García-Reyes , Guillermo A. González

We analyze the general relativistic oscillations of thin accretion disks around compact astrophysical objects interacting with the surrounding medium through non-gravitational forces. The interaction with the external medium (a thermal…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Tiberiu Harko , Gabriela Mocanu

We propose a disc-corona model in which a geometrically thin, optically thick disc surrounds a Kerr black hole, and magnetic fields exert a time-steady torque on the inner edge of the accretion disc. The analytical expression of the total…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Xiaolong Gong , Lixin Li , Renyi Ma

Gravitational coupling between a protoplanetary disc and an embedded eccentric planet is an important, long-standing problem, which has been not yet been conclusively explored. Here we study the torque and associated orbital evolution of an…

Earth and Planetary Astrophysics · Physics 2024-07-31 Callum W. Fairbairn , Roman R. Rafikov

In low-mass disks, turbulent torques are probably the most important way of redistributing angular momentum. Here we present the theory of turbulent accretion disks. We show the molecular viscosity is far too small to account for the…

Astrophysics · Physics 2015-06-24 Caroline E. J. M. L. J. Terquem

In this paper, we analyze a thin disk around the distorted Kerr black hole (DKB) within the framework of general relativity using an axisymmetric solution of the Einstein equations. We consider this accretion disk around the Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Olya Layeghi , Jamshid Ghanbari , Mahboobe Moeen Moghaddas

It has now become possible to study directly, via numerical simulation, the evolution of relativistic, radiation-dominated flows around compact objects. With this in mind we set out explicitly covariant forms of the radiative transfer…

High Energy Astrophysical Phenomena · Physics 2020-01-29 Shane W. Davis , Charles F. Gammie

We evaluate the torque acting on a gravitational perturber on a retrograde circular orbit in the midplane of a gaseous disk. We assume that the mass of this satellite is so low it weakly disturbs the disk (type I migration). The perturber…

Astrophysics of Galaxies · Physics 2018-07-04 F. J. Sanchez-Salcedo , R. O. Chametla , A. Santillan

We present a two-dimensional grid-based hydrodynamic simulation of a thin, viscous, locally-isothermal corotating disk orbiting an equal-mass Newtonian binary point mass on a fixed circular orbit. We study the structure of the disk after…

Astrophysics · Physics 2010-11-11 Andrew I. MacFadyen , Milos Milosavljevic

We present a numerical study of the dynamics of magnetized, relativistic, non-self-gravitating, axisymmetric tori orbiting in the background spacetimes of Schwarzschild and Kerr black holes. The initial models have a constant specific…

Astrophysics · Physics 2008-11-26 Pedro J. Montero , Olindo Zanotti , Jose A. Font , Luciano Rezzolla

We determine an expression for the Type I planet migration torque involving a locally isothermal disk, with moderate turbulent viscosity (~0.0005 < alpha < ~0.05), based on three-dimensional nonlinear hydrodynamical simulations. The radial…

Earth and Planetary Astrophysics · Physics 2016-06-20 Gennaro D'Angelo , Stephen H. Lubow

A key component of explaining the array of galaxies observed in the Universe is the feedback of active galactic nuclei, each powered by a massive black hole's accretion disc. For accretion to occur, angular momentum must be lost by that…

General Relativity and Quantum Cosmology · Physics 2015-07-17 Adam R. H. Stevens

The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

We have applied an eccentric accretion disc theory in simplified form to the case of an accretion disc in a binary system, where the disc contains the 3:1 Lindblad resonance. This is relevant to the case of superhumps in SU Ursae Majoris…

Astrophysics · Physics 2009-11-11 Simon Goodchild , Gordon Ogilvie

We generalize previous calculations to a fully relativistic treatment of adiabatic oscillations which are trapped in the inner regions of accretion disks by non-Newtonian gravitational effects of a black hole. We employ the Kerr geometry…

We propose a model of a twisted accretion disc around a Kerr black hole interacting with a secondary black hole of a smaller mass on an inclined eccentric orbit. We use parameters of the system, which may be appropriate for the so-called…

Astrophysics of Galaxies · Physics 2024-01-03 P. B. Ivanov , V. V. Zhuravlev

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. N. Aliev , N. Ozdemir

We study quantum gravity effects on the thermodynamic character and the radiation process of the thin accretion disks around Schwarzschild-like black hole. The quantum gravity correction is invoked through the framework of generalization of…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Himangshu Barman , Mohamed Moussa , Homa Shababi , Anisur Rahaman

We consider a geometrically thin, Keplerian disk in the orbital plane of a binary black hole (BHBH) consisting of a spinning primary and low-mass secondary (mass ratio q < 1). To account for the principle effects of general relativity (GR),…

High Energy Astrophysical Phenomena · Physics 2013-06-18 Stuart L. Shapiro