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Photon sphere has attracted significant attention since the capture of black hole shadow images by Event Horizon Telescope. Recently, a number of studies have highlighted that the number of photon spheres and their distributions near black…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Chen-Kai Qiao

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

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

General Relativity and Quantum Cosmology · Physics 2026-02-25 Yong Song , Jiaqi Fu , Yiting Cen

For static black holes in Einstein gravity, if matter fields satisfy a few general conditions, we conjecture that three characteristic parameters about the spatial size of black holes, namely the outermost photon sphere area…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Run-Qiu Yang , H. Lu

We investigate the possibility of photon halos (stable photon orbits) forming outside Schwarzschild-$f(R)$ black holes by analyzing null geodesics in these spacetimes. Using methods inspired by studies of spherical photon orbits around…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Wen-Xiang Chen

In this work, we derive rigorous and universal bounds on the geometric characteristics of black holes in asymptotically flat spacetimes under assumptions that weak energy condition is satisfied. We prove that the event horizon radius, the…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Vitalii Vertogradov

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

One of the most remarkable predictions of the general theory of relativity is the existence of black-hole "photonspheres", compact null hypersurfaces on which massless particles can orbit the central black hole. We prove that every…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Shahar Hod

The black hole shadow is fundamentally connected to the structure of light rings and the photon region in the background geometry. We investigate the photon region boundary in a generic asymptotically flat, stationary, axisymmetric black…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Prasad Padhye , Kajol Paithankar , Sanved Kolekar

A recently developed topological approach offers novel insights into photon spheres, which are fundamental to the formation of black hole shadows. In this study, we extend this topological analysis to higher-dimensional, static, spherically…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jun-Lei Chen , Shan-Ping Wu , Shao-Wen Wei

Horizons and bound photon orbits are defining features of black holes that translate into key features of black hole images. We present a purely geometric proof that spherically symmetric, isolated objects with horizons in gravity theories…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Raúl Carballo-Rubio , Astrid Eichhorn

Black hole photon spheres or light rings are closely linked to astronomical phenomena, such as the gravitational waves and the shadow in spherically symmetric or axi-symmetric spacetime. In Cunha and Herdeiro [Phys. Rev. Lett. 124, 181101…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Shao-Wen Wei

We study closed photon orbits in spherically-symmetric static solutions of supergravity theories, a Horndeski theory, and a theory of quintessence. These orbits lie in what we shall call a photon sphere (anti-photon sphere) if the orbit is…

General Relativity and Quantum Cosmology · Physics 2019-04-26 M. Cvetic , G. W. Gibbons , C. N. Pope

In this paper, we investigate the topological photon sphere from two distinct perspectives. In the first view, we examine the existence and characteristics of topological photon(anti-photon)spheres for black holes with different structures,…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Jafar Sadeghi , Mohammad Ali S. Afshar

The existence of closed null circular geodesics around black holes is one of the most intriguing predictions of general relativity. It has recently been conjectured that the radii of black-hole photonspheres are bounded from below by the…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Shahar Hod

In this paper, we study the trajectories of massive and massless particles in four dimensional static and spherically symmetric black holes in de Rham-Gabadadze-Tolley (dRGT) massive gravity theory via phase-plane analysis and point out…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Pavan Kumar Yerra , Sudipta Mukherji , Chandrasekhar Bhamidipati

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

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

Photonspheres, curved hypersurfaces on which massless particles can perform closed geodesic motions around highly compact objects, are an integral part of generic black-hole spacetimes. In the present compact paper we prove, using…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Shahar Hod

Recently, asymptotically-flat black holes with multiple photon spheres have been discovered and found to produce distinctive observational signatures. In this paper, we focus on whether these black hole solutions are physically viable,…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Guangzhou Guo , Yuhang Lu , Peng Wang , Houwen Wu , Haitang Yang
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