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We examine the motion of the massless scalar field and nearly bound null geodesics in the near-ring region of a black hole, which may possess either acceleration or a gravitomagnetic mass. Around such black holes, the photon ring deviates…

High Energy Physics - Theory · Physics 2024-03-27 Ye-Sheng Xue , Jie Jiang , Ming Zhang

The semi-review paper studies the null geodesics which appear for black hole solutions in the gravitational $4d$ model with anisotropic fluid. The equations of state for the fluid and solutions itselves depend upon integer parameter $q = 1,…

General Relativity and Quantum Cosmology · Physics 2025-09-11 V. D. Ivashchuk , S. V. Bolokhov , F. B. Belissarova , N. Kydyrbay , A. N. Malybayev , G. S. Nurbakova , B. Zheng

The bell-like ringdown of the gravitational field in the last stage of the merging of massive black holes is now routinely detected on earth by the last generation of gravitational wave detectors. Its spectrum is interpreted as a sum of…

In this paper, we base our analysis on the assumption that the existence of a photon sphere is an intrinsic feature of any ultra-compact gravitational structure with spherical symmetry. Utilizing the concept of a topological photon sphere,…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Mohammad Ali S. Afshar , Jafar Sadeghi

Photon spheres are the characteristic of general black holes, thus are a suitable touchstone for the emergence of gravitational spacetime in the AdS/CFT correspondence. We provide a spectral analysis of an AdS Schwarzschild black hole near…

High Energy Physics - Theory · Physics 2023-07-04 Koji Hashimoto , Kakeru Sugiura , Katsuyuki Sugiyama , Takuya Yoda

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

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

We reconstruct a static and spherically symmetric black hole geometry originally proposed as an effective metric by identifying a consistent matter source derived from a fundamental action. The space-time is supported by a magnetically…

There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere are either escape to…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Andrey A. Shoom

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

Black hole thermodynamics is a crucial and foundational aspect of black hole physics, yet its observational verification remains exceptionally challenging. The photon sphere of a black hole, a manifestation of strong gravitational effects,…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Si-Jiang Yang , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

The black hole photon ring is a prime target for upcoming space-based VLBI missions seeking to image the fine structure of astrophysical black holes. The classical Lyapunov exponents of the corresponding nearly bound null geodesics control…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Daniel Kapec , Alexandru Lupsasca , Andrew Strominger

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

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

Photon spheres, surfaces where massless particles are confined in closed orbits, are expected to be common astrophysical structures surrounding ultracompact objects. In this paper a semiclassical treatment of a photon sphere is proposed. We…

General Relativity and Quantum Cosmology · Physics 2014-11-24 M. C. Baldiotti , Walace S. Elias , C. Molina , Thiago S. Pereira

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

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

We consider the optical appearance of a non-singular, spherically symmetric black hole from Eddington-inspired Born-Infeld gravity coupled to anisotropic fluids. Such a black hole has a single (external) horizon located very near the…

General Relativity and Quantum Cosmology · Physics 2026-05-01 David Díaz-Guerra , Angel Rincon , Diego Rubiera-Garcia

In this letter, we show the Unruh temperature of the photon sphere for an AdS$_4$-Schwarzschild black hole can be determined holographically from the retarded Green's function and is proportional to its circumference according to a boundary…

High Energy Physics - Theory · Physics 2024-07-23 Marcos Riojas , Hao-Yu Sun

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
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