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Exact formulas relating the radii of the spherical photon orbits to the black hole's rotation parameter and the effective inclination angle of the orbit have been known only for equatorial and polar orbits up to now. Here we provide exact…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Aydin Tavlayan , Bayram Tekin

We study the motion of bound null geodesics with fixed coordinate radius around a five-dimensional rotating black hole. These spherical photon orbits are not confined to a plane, and can exhibit interesting quasiperiodic behaviour. We…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Mark Bugden

Photon circular orbits, an extreme case of light deflection, are among the hallmarks of black holes and are known to play a central role in a variety of phenomena related to these extreme objects. The very existence of such orbits when…

General Relativity and Quantum Cosmology · Physics 2019-06-28 Kostas Glampedakis , George Pappas

This study investigates photon orbits around Kerr-MOG black holes. The equation of photon of motion around the Kerr-MOG black hole is derived by solving the Hamilton-Jacobi equation, expressed as a sixth-order polynomial involving the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

In this paper, we calculate the analytical solutions for the radii of planar and polar spherical photon orbits around a rotating black hole that is associated with quintessential field and cloud of strings. This includes a full analytical…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Mohsen Fathi , Marco Olivares , J. R. Villanueva

A special class of orbits known to exist around a Kerr black hole are spherical orbits -- orbits with constant coordinate radii that are not necessarily confined to the equatorial plane. Spherical time-like orbits were first studied by…

General Relativity and Quantum Cosmology · Physics 2021-01-21 Edward Teo

We investigate the spherical photon orbits in near-extremal Kerr spacetimes. We show that the spherical photon orbits with impact parameters in a finite range converge on the event horizon. Furthermore, we demonstrate that the Weyl…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Takahisa Igata , Hideki Ishihara , Yu Yasunishi

The notion of non-equatorial spherical photon orbits is among the very special properties of the Kerr spacetime of rotating black holes and is one that leaves a clear mark on the electromagnetic and gravitational wave signature of these…

General Relativity and Quantum Cosmology · Physics 2019-04-15 George Pappas , Kostas Glampedakis

The spherical photon orbits around a black hole with constant radii are particular important in astrophysical observations of the black hole. In this paper, the equatorial and non-equatorial spherical photon orbits around Kerr-Newman black…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Ying-Xuan Chen , Jia-Hui Huang , Haoxiang Jiang

In this brief article we discuss the corrections to the photon orbits of a non-rotating black hole due to semiclassical fluctuations of the metric. It is found that the photon orbit impact parameter differences with the critical impact…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Swayamsiddha Maharana , Arundhati Dasgupta

In this paper, we investigate the photon orbits around a Kerr-like black hole in Einstein-Bumblebee gravity, where Lorentz symmetry is spontaneously broken. By solving the Hamilton-Jacobi equation, we derive a sixth-order polynomial that…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

The Kerr black holes possess a photon region with prograde and retrograde orbits radii, respectively, $M\leq r_p^-\leq 3M$ and $3M\leq r_p^+\leq 4M$, and thereby always cast a closed photon ring or a shadow silhouette for $a\leq M$. For…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Rahul Kumar , Sushant G. Ghosh

Very-long baseline interferometric observations have resolved structure on scales of only a few Schwarzschild radii around the supermassive black holes at the centers of our Galaxy and M87. In the near future, such observations are expected…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Tim Johannsen

Under very general assumptions on the accretion flow geometry, images of a black hole illuminated by electromagnetic radiation display a sequence of photon rings (demagnified and rotated copies of the direct image) which asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Maciek Wielgus

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 study scattering of polarized light by a rotating (Kerr) black hole of the mass M and the angular momentum J. In order to keep trace of the polarization dependence of photon trajectories one can use the following dimensionless parameter:…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Valeri P. Frolov , Andrey A. Shoom

We have studied the shadows of a circular disformal Kerr black hole with a deformation parameter, which represents a rotating solution within a generalized scalar-tensor framework of Horndeski gravity that characterized by second-order…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Fen Long , Songbai Chen , Jiliang Jing

The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Shahar Hod

We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Wen-Biao Han , Shu-Cheng Yang

We investigate the geodesic motion in the background of Kerr-Sen Black Hole arising in the heterotic string theory. The nature of effective potential is discussed in radial as well as latitudinal direction. A special class of spherical…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Rashmi Uniyal , Hemwati Nandan K. D. Purohit
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