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Related papers: Black hole lensing in Kerr-de Sitter spacetimes

200 papers

In this paper, we recall some basic facts about the Kerr--Newman--(anti) de Sitter (KNdS) spacetime and review several formulations and integration methods for the geodesic equation of a test particle in such a spacetime. In particular, we…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Arthur Garnier

The Event Horizon Telescope collaboration has revealed the first direct image of a black hole, as per the shadow of a Kerr black hole of general relativity. However, other Kerr-like rotating black holes of modified gravity theories cannot…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Misba Afrin , Sushant G. Ghosh

We study the gravitational lensing by a Kerr-Sen Black Hole arising in heterotic string theory. A closed form expression for the bending angle of light in equatorial plane of Kerr-Sen Black Hole is derived as a function of impact parameter,…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Rashmi Uniyal , Hemwati Nandan , Philippe Jetzer

We consider the metric exterior to a charged dilaton black hole in a de Sitter universe. We study the motion of a test particle in this metric. Conserved quantities are identified and the Hamilton-Jacobi method is employed for the solutions…

Astrophysics · Physics 2008-11-26 Nupur Mukherjee , A. S. Majumdar

We describe a new approach to calculating photon trajectories and gravitational lensing effects in the strong gravitational field of the Kerr black hole. These techniques are applied to explore both the imaging and spectral properties of…

Astrophysics · Physics 2011-05-10 Kris Beckwith , Chris Done

We review the analytical solution methods for the geodesic equations in Kerr-Newman-Taub-NUT-de Sitter spacetimes and its subclasses in terms of elliptic and hyperelliptic functions. A short guide to corresponding literature for general…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Eva Hackmann , Claus Lämmerzahl

We present an analytical treatment of gravitational lensing by a Kerr black hole in the weak deflection limit. Lightlike geodesics are expanded as a Taylor series up to and including third-order terms in m/b and a/b, where m is the black…

Astrophysics · Physics 2009-11-11 M. Sereno , F. De Luca

Motivated by quantum-gravity scenarios that replace the classical black hole singularity with a regular core, and by the possibility that the dark-energy sector may be scale dependent, we construct a broad class of nonsingular rotating…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Ramon Torres

We present firstly equation of motion for the photon coupled to Weyl tensor in a Kerr black hole spacetime and then study further the corresponding strong gravitational lensing. We find that black hole rotation makes propagation of the…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Songbai Chen , Shangyun Wang , Yang Huang , Jiliang Jing , Shiliang Wang

The timelike geodesic equations resulting from the Kerr gravitational metric element are derived and solved exactly including the contribution from the cosmological constant. The geodesic equations are derived, by solving the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. V. Kraniotis

We study the lensing effects of Kerr-Newman (KN) black holes and the multi-level images of luminous sources around the black holes. We obtain the analytic forms of the lens equations in KN spacetime and derive approximately their limiting…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Yehui Hou , Peng Liu , Minyong Guo , Haopeng Yan , Bin Chen

We investigate the evaporation process of a Kerr-de Sitter black hole with the Unruh-Hawking-like vacuum state, which is a realistic vacuum state modelling the evaporation process of a black hole originating from gravitational collapse. We…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Ruth Gregory , Ian G. Moss , Naritaka Oshita , Sam Patrick

The images of supermassive black holes surrounded by optically-thin, radiatively-inefficient accretion flows, like those observed with the Event Horizon Telescope, are characterized by a bright ring of emission surrounding the black-hole…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ziri Younsi , Dimitrios Psaltis , Feryal Özel

Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Joshua Baines , Matt Visser

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Saheb Soroushfar , Reza Saffari , Sobhan Kazempour , Saskia Grunau , Jutta Kunz

Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

In this work, we investigate the critical behavior of photon rings in the Kerr-Bertotti-Robinson spacetime, describing a rotating black hole immersed in a background magnetic field. We analyze the radial and angular motions of photons under…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Xi Wan , Zhenyu Zhang , Fang-Stars Wei , Yehui Hou , Bin Chen

We explore the universal symmetries of the black hole photon ring in a wide range of non-Kerr spacetimes, including the Kerr-Newman, Kerr-Sen, Kerr-Bardeen, and Kerr-Hayward metrics. The demagnification exponent ($\gamma$) controls the size…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Rahul Kumar Walia , Prashant Kocherlakota , Dominic O. Chang , Kiana Salehi

We investigate the gravitational lensing properties and the formation of relativistic images associated with black holes modeled by the Reissner-Nordstr\"om and Kerr space-time geometries. In particular, we perform numerical computations of…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Angelika Ghazale , Oliver F. Piattella