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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

The equations for the photon surface in spherical symmetry are worked out, starting from arXiv:gr-qc/0005050, in the most general dynamical setting. We show that the condition for a timelike hypersurface to be a photon surface can be…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Roberto Giambò , Camilla Lucamarini

We analyze the null geodesics of regular black holes. A detailed analysis of geodesic structure both null geodesics and time-like geodesics have been investigated for the said black hole. As an application of null geodecics, we calculate…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Monimala Mondal , Anil Kumar Yadav , Parthapratim Pradhan , Sayeedul Islam , Farook Rahaman

In this paper, we first consider null geodesics of a class of charged, spherical and asymptotically flat hairy black holes in an Einstein-Maxwell-scalar theory with a non-minimal coupling for the scalar and electromagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Qingyu Gan , Peng Wang , Houwen Wu , Haitang Yang

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

A static, spherically symmetric, asymptotically flat spacetime may allow for circular, closed null-geodesics which are said to belong to a photon sphere. In the context of gravitational lensing in the strong deflection regime, the presence…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Dubravko Horvat , Sasa Ilijic , Anamarija Kirin , Zoran Narancic

We investigate photon surfaces and their stability in a less symmetric spacetime, a general static warped product with a warping function acting on a Riemannian submanifold of codimension two. We find a one-dimensional pseudopotential that…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Yasutaka Koga , Takahisa Igata , Keisuke Nakashi

We revisit the notion of massive particle hypersurfaces and place it within a unified framework alongside photon hypersurfaces in stationary spacetimes. More precisely, for Killing-invariant timelike hypersurfaces $T=\mathbb{R}\times S_0$,…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Erasmo Caponio , Anna valeria Germinario , Antonio Masiello

A photon sphere is known as the geometrical structure shaping a black hole shadow. The mechanism is well understood for static or stationary black hole spacetimes such as the Schwarzschild and the Kerr spacetimes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Yasutaka Koga , Nobuyuki Asaka , Masashi Kimura , Kazumasa Okabayashi

In this article we extend a recent theorem proven by Hod (Phys. Lett. B, {\bf 727}, 345--348, 2013) to $n$-dimensional Einstein and Einstein-Gauss-Bonnet theories, which gives an upper bound for the photon sphere radii of spherically…

General Relativity and Quantum Cosmology · Physics 2016-09-01 Emanuel Gallo , J. R. Villanueva

Horizon scale imaging and precision lensing have turned black holes into quantitative laboratories for strong gravity and for non standard electromagnetic physics. We study the optical appearance and orbital dynamics of a new class of…

General Relativity and Quantum Cosmology · Physics 2026-03-12 İlim İrfan Çimdiker , Ali Övgün , Yosef Verbin

In Ref. [1], the spacetime geometry generated by compact objects in $(2+1)$-dimensional Bopp-Podolsky electrodynamics is derived. Using a perturbative approach, the authors derived a charged BTZ-like black hole solution and computed…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Faizuddin Ahmed , Ahmad Al-Badawi , Abdelmalek Bouzenada , Erdem Sucu , İzzet Sakallı

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen

In this paper, we have investigated the geodesics of neutral particles near a five-dimensional charged black hole using a comparative approach. The effective potential method is used to determine the location of the horizons and to study…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Sarbari Guha , Pinaki Bhattacharya , Subenoy Chakraborty

Assuming that the universe is homogenous and isotropic and applying Gauss' flux theorem for gravity, it follows that the gravitational field of the visible universe can be calculated as if the entire mass of the visible universe is located…

General Physics · Physics 2015-03-17 Branislav Vlahovic

Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

We study timelike, totally umbilic hypersurfaces -- called photon surfaces -- in $n+1$-dimensional static, asymptotically flat spacetimes, for $n+1\geq4$. First, we give a complete characterization of photon surfaces in a class of…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Carla Cederbaum , Sophia Jahns , Olivia Vičánek Martínez

We investigate the photon sphere and the extremal stable circular orbit (ESCO) for massive particles over a recently proposed regular black holes with sub-Planckian curvature and Minkowskian core. We derive the effective potential for…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Wei Zeng , Yi Ling , Qing-Quan Jiang

We have derived the differential equation governing the evolution of the photon sphere for dynamical black hole spacetimes with or without spherical symmetry. Numerical solution of the same depicting evolution of the photon sphere has been…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Akash K Mishra , Sumanta Chakraborty , Sudipta Sarkar

We continue our study of the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole. Because null geodesics on the photon sphere orbit the black hole, extra effort must be made to show that the high…

Analysis of PDEs · Mathematics 2007-05-23 P. Blue , A. Soffer