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We study the order ten polynomial equation satisfied by the radius of the spherical timelike orbits for a massive particle with a generic energy around a Kerr black hole. Even though the radii of the prograde and retrograde orbits at the…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Aydin Tavlayan , Bayram Tekin

One of the most important and actual issues in relativistic astrophysics is testing gravity theories and obtaining constraint values for the parameters of black holes using observational data. In this research, we aimed to explore the…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Saeed Ullah Khan , Javlon Rayimbaev , Furkat Sarikulov , Ozodbek Abdurakhmonov

We study circular orbits that are tilted with respect to the equatorial plane around a Kerr black hole. We write the equations for the parameters of a tilted circular orbit in terms of the orbit's radius and the Carter constant, or…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Abdallah M. Al Zahrani

We investigate the stable circular orbits of the spinning test particles around the accelerating Kerr black hole on the equatorial plane. To this end, we first calculate the equations of motion and analyze the parameter space for the…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Ming Zhang , Jie Jiang

Black hole shadows and photon spheres offer valuable tools for investigating black hole properties. Recent observations by the Event Horizon Telescope Collaboration have confirmed the existence of rotating black holes. Black hole parameters…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Vitalii Vertogradov , Ali Övgün , Reggie C. Pantig

The lack of rotating black holes, typically found in nature, hinders testing modified gravity from astrophysical observations. We present the axially symmetric counterpart of an existing spherical hairy black hole in Horndeski gravity…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Rahul Kumar Walia , Sunil D. Maharaj , Sushant G. Ghosh

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

An study of the equatorial circular motion of photons and massive particles around a rotating compact body like a neutron star is presented. For this goal, we use an approximate Kerr-like metric with mass quadrupole as perturbation. The…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Diego Solano-Alfaro , Francisco Frutos-Alfaro

Highly accurate closed-form expressions that describe the full trajectory of photons propagating in the equatorial plane of a Kerr black hole are obtained using asymptotic approximants. This work extends a prior study of the overall bending…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Ryne J. Beachley , Morgan Mistysyn , Joshua A. Faber , Steven J. Weinstein , Nathaniel S. Barlow

Kerr black holes are among the most intriguing predictions of Einstein's general relativity theory. These rotating massive astrophysical objects drag and intermix their surrounding space and time, deflecting and phase-modifying light…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Fabrizio Tamburini , Bo Thidé , Gabriel Molina-Terriza , Gabriele Anzolin

In recent years, the shape of the photon ring in black holes images has been argued to provide a sharp test of the Kerr hypothesis for future black hole imaging missions. In this work, we confront this proposal to beyond Kerr geometries and…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Jibril Ben Achour , Eric Gourgoulhon , Hugo Roussille

We consider a Kerr black hole acting as a gravitational deflector within the geometrical optics, and point source approximations. The Kerr black hole gravitational lens geometry consisting of an observer and a source located far away and…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Samuel E. Vázquez , Ernesto P. Esteban

We present exact black hole solutions endowed with magnetic charge coming from exponential and logarithmic nonlinear electrodynamics (NLED). Classically, we analyze the null and timelike geodesics, all of which contain both the bound and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 A S. Habibina , B. N. Jayawiguna , H. S. Ramadhan

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

Discussion of the equatorial photon motion in Kerr-Newman black-hole and naked-singularity spacetimes with a non-zero cosmological constant is presented. Both repulsive and attractive cosmological constants are considered. Circular photon…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Zdeněk Stuchlík , Stanislav Hledík

We investigate whether photon ring observations in black hole imaging are able to distinguish between the Kerr black hole in general relativity and alternative black holes that deviate from Kerr. Certain aspects of photon rings have been…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Seppe Staelens , Daniel R. Mayerson , Fabio Bacchini , Bart Ripperda , Lorenzo Küchler

From any location outside the event horizon of a black hole there are an infinite number of trajectories for light to an observer. Each of these paths differ in the number of orbits revolved around the black hole and in their proximity to…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Albert Sneppen

The (1, 0)+(0, 1) representation of the group SL(2, C) provides a six-component spinor equivalent to the electromagnetic field tensor. By means of the (1, 0)+(0, 1) description, one can treat the photon field in curved spacetime via spin…

General Relativity and Quantum Cosmology · Physics 2016-05-23 Zhi-Yong Wang , Cai-Dong Xiong , Qi Qiu , Yun-Xiang Wang , Shuang-Jin Shi

A large class of spherically symmetric static extremal black hole spacetimes possesses a stable null photon sphere on their horizons. For the extremal Kerr-Newman family, the photon sphere only really coincides with the horizon in the sense…

General Relativity and Quantum Cosmology · Physics 2017-11-06 Zi-Yu Tang , Yen Chin Ong , Bin Wang

We examine the shadow cast by a Kerr black hole, focusing on constraints on photons corresponding to different shadow boundaries. The photons are related to different orbital ranges and impact parameter values, creating a map of the shadow…

General Relativity and Quantum Cosmology · Physics 2024-05-24 D. Pugliese , Z. Stuchlık