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Here we furnish a pseudo-Newtonion potential for accretion disk modeling around rotating central objects having hard sueface. That means, the potential may be useful to describe the accretion disk around rotating neutron stars and strange…

Astrophysics · Physics 2019-04-03 Shubhrangshu Ghosh

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

By solving a nonlinear Klein-Gordon equation in Kerr geometry, we uncover new phenomena and key characteristics of quantized vortices in quantum fluids near a Kerr black hole. The formation of these vortices induces rotational or turbulent…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Shilong Jin , Xiaofei Zhao , Yong Zhang , Chi Xiong

Rotating regular black hole, as a promising extension beyond general relativity, offer a phenomenological model that resolves spacetime singularities. In this study, we investigate the observational features of thin accretion disk around a…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Zhen Li

We present a new three-dimensional fully general-relativistic hydrodynamics code using high-resolution shock-capturing techniques and a conformal traceless formulation of the Einstein equations. Besides presenting a thorough set of tests…

General Relativity and Quantum Cosmology · Physics 2011-09-30 L. Baiotti , I. Hawke , P. J. Montero , F. Loeffler , L. Rezzolla , N. Stergioulas , J. A. Font , E. Seidel

We implement a probe counterpart of Newman-Janis algorithm, which Wick rotates the all-orders geodesic deviation equation into a part of exact spinning-particle equations of motion. Consequently, the gravitational dynamics of the Kerr black…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Joon-Hwi Kim

Realistic accretion disk models require a number of ingredients, including viscous fluids, electromagnetic fields and general relativistic corrections. Close to the innermost stable circular orbit (ISCO) the latter can be appreciable and…

Solar and Stellar Astrophysics · Physics 2009-09-15 Daniel Grumiller , Ana-Maria Piso

In this paper, we consider charged accelerating AdS black holes with nonlinear electromagnetic source. The metric chosen by us is of a regular black hole which shows regular nature at poles and a conical effect which corresponds to a cosmic…

General Relativity and Quantum Cosmology · Physics 2019-03-18 Amritendu Haldar , Ritabrata Biswas

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

We introduce the concept of effective geometry by studying several systems in which it arises naturally. As an example of the power and conciseness of the method, it is shown that a flowing dielectric medium with a linear response to an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Novello , S. E. Perez Bergliaffa

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 consider a temporal response of relativistically broadened line spectrum of iron from black hole accretion irradiated by an X-ray echo under strong gravity. The physical condition of accreting gas is numerically calculated in the context…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Kaitlyn Porter , Keigo Fukumura

We have studied numerically the so-called Bondi-Hoyle (wind) accretion on to a rotating (Kerr) black hole in general relativity. We have used the Kerr-Schild form of the Kerr metric, free of coordinate singularities at the black hole…

Astrophysics · Physics 2007-05-23 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

This paper presents an analytic perturbation approach to the dynamics of a classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD) equations of motion, with a direct application to circular motion around a Kerr black…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Dinesh Singh

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

We derive an exact solution representing a Bondi-type stationary accretion of a kinetic (Vlasov) gas onto the Kerr black hole. The solution is exact in the sense that relevant physical quantities, such as the particle current density or the…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Patryk Mach , Mehrab Momennia , Olivier Sarbach

The aim of the present article is to evaluate the motion of charged test particles in the vicinity of a near-extremal rotating black hole in the presence of magnetic fields. Euler-Lagrange motion equations and effective potential methods…

General Relativity and Quantum Cosmology · Physics 2021-02-03 C. H. Coimbra-Araújo , R. C. Anjos

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

We study simulated images generated from an accretion disk surrounding the supermassive black hole hosted in the nearby galaxy M87. We approach the problem employing very simple accreting models inspired from magnetohydrodynamical…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Ezequiel F. Boero , Osvaldo M. Moreschi

The motion of classical spinning test particles in the equatorial plane of a Kerr black hole is considered for the case where the particle spin is perpendicular to the equatorial plane. We review some results of our recent research of the…

General Relativity and Quantum Cosmology · Physics 2016-05-16 O. Yu. Tsupko , G. S. Bisnovatyi-Kogan , P. I. Jefremov