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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 recent detection of gravitational waves from black hole coalescences and the first image of the black hole shadow enhance the possibilities of testing gravitational theories in the strong-field regime. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Che-Yu Chen

We consider the perturbative, fully explicit, analytical behaviour of photon escape cones in the Kerr spacetime. When one conducts the fully general non-perturbative Kerr analysis, one quickly finds that one must at some point appeal to…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Joshua Baines , Matt Visser

Circular photon orbit and black hole shadow are significantly important issues in physics and astronomy, and a number of breakthroughs have been witnessed in recent years. Conventionally, the stable and unstable circular photon orbits are…

General Relativity and Quantum Cosmology · Physics 2024-09-12 Chen-Kai Qiao , Ming Li

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

X-ray reflection spectroscopy is a powerful tool for testing the Kerr hypothesis and probing the strong gravity regime around accreting black holes. Most tests of General Relativity (GR) assume that the spacetime around a black hole is…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Leda Gao , Swarnim Shashank , Cosimo Bambi

In this paper we first investigate the equatorial circular orbit structure of Kerr black holes with scalar hair (KBHsSH) and highlight their most prominent features which are quite distinct from the exterior region of ordinary bald Kerr…

High Energy Astrophysical Phenomena · Physics 2021-03-30 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

We investigate the orbital structure and observable appearance of rotating Kerr black holes endowed with synchronized scalar hair described by two time-periodic scalar fields with a flat target-space geometry. The presence of scalar hair…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Galin N. Gyulchev , Daniela D. Doneva , Valentin O. Deliyski , Petya G. Nedkova , Stoytcho S. Yazadjiev

We consider necessary and sufficient conditions for photons emitted from an arbitrary spacetime position of the extremal Kerr black hole to escape to infinity. The radial equation of motion determines the necessary conditions for photons…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Kota Ogasawara , Takahisa Igata

The recently released images of the supermassive black holes in the M87 galaxy and the galaxy of our own make probing black hole spacetimes and testing general relativity (GR) possible. The violation of equatorial reflection symmetry of…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Che-Yu Chen

In paper I in this series, we found exact expressions for the equatorial homoclinic orbits: the separatrix between bound and plunging, whirling and not whirling. As a companion to that physical space study, in this paper we paint a phase…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Gabe Perez-Giz , Janna Levin

We analyze the properties of circular orbits of test particles on the equatorial plane of a rotating central mass whose gravitational field is described by the Kerr spacetime. For rotating black holes and naked singularities we explore all…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Daniela Pugliese , Hernando Quevedo , Remo Ruffini

We present an invariant characterization of the Kerr spacetime, and utilize the invariant structure of the spacetime to derive a function whose zeros identify a special family of null geodesics. Each member of this family is tangent to…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Nicholas Layden , Dipanjan Dey , Alan Coley

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

Classical black holes contain a singularity at their core. This has prompted various researchers to propose a multitude of modified spacetimes that mimic the physically observable characteristics of classical black holes as best as…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Thomas Berry , Alex Simpson , Matt Visser

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Matt Visser

In a recent work PRD 106, L021501 (2022), a new geometric approach is proposed to obtain the photon sphere (circular photon orbit) and the black hole shadow radius. In this approach, photon spheres and the black hole shadow radius are…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Chen-Kai Qiao

Circular photon orbits have become an attractive topic in recent years. They play extremely important roles in black hole shadows, gravitational lensings, quasi-normal modes, and spacetime topological properties. In our recent work,…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chenkai Qiao , Ming Li , Donghui Xie , Minyong Guo

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

We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Jaroslav Vrba , Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Zdeněk Stuchlík