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Related papers: The geometry of photon surfaces

200 papers

In this paper we define the radiation field for the wave equation on the Schwarzschild black hole spacetime. In this context it has two components: the rescaled restriction of the time derivative of a solution to null infinity and to the…

Analysis of PDEs · Mathematics 2015-06-16 Dean Baskin , Fang Wang

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

Recently, the image of a Schwarzschild black hole with an accretion disk has been revisited, and it showed that the "photon ring", defined as highly bent light rays that intersect the disk plane more than twice, is extremely narrow and…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Qingyu Gan , Peng Wang , Houwen Wu , Haitang Yang

Bekenstein proposed that the spectrum of horizon area of quantized black holes must be discrete and uniformly spaced. We examine this proposal in the context of spherically symmetric charged black holes in a general class of gravity…

High Energy Physics - Theory · Physics 2022-10-12 Andrei Barvinsky , Saurya Das , Gabor Kunstatter

A compact object illuminated by background radiation produces a dark silhouette. The edge of the silhouette or shadow (alternatively, the apparent boundary or the critical curve) is commonly determined by the presence of the photon sphere…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Parth Bambhaniya , Saurabh , Elisabete M. de Gouveia Dal Pino

Uncertainty relation for photons that overcomes the difficulties caused by the nonexistence of the photon position operator is derived in quantum electrodynamics. The photon energy density plays the role of the probability density in…

Quantum Physics · Physics 2012-04-05 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

For the Kerr naked singularity (KNS) spacetimes, we study properties of spherical photon orbits (SPOs) confined to constant Boyer-Lindquist radius r. Some new features of the SPOs are found, having no counterparts in the Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2018-11-08 Daniel Charbulák , Zdeněk Stuchlík

In this paper, we investigate the overlapping of photon rings - higher-order images of a black hole's luminous environment, concentrated near the shadow boundary and expected to be resolved in future observations. We consider a broad class…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Oleg Yu. Tsupko , Fabio Aratore , Volker Perlick

Uniqueness of static, asymptotically flat, non-extremal {\it photon sphere} in Einstein-Maxwell spacetime with electric and magnetic charges has been proved. Using conformal positive energy theorem, as well as, the positive mass theorem and…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Marek Rogatko

We investigate gravitational lensing by a primary photon sphere which is a sphere filled with unstable circular light orbits, and by a secondary photon sphere on a wormhole throat in a black-bounce spacetime which is suggested in [F. S. N.…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Naoki Tsukamoto

In this report, we discuss the dynamics of photons in a five-dimensional Schwarzschild black hole. We find that the corresponding Eddington-Finkelstein-like coordinate admits two time-coordinate singularities for a particular condition.…

General Relativity and Quantum Cosmology · Physics 2021-07-27 Husin Alatas , Siti A. Nuraeni , Ilma L. Saptiani , Bobby E. Gunara

The presence of a bright "photon ring" surrounding a dark "black hole shadow" has been discussed as an important feature of the observational appearance of emission originating near a black hole. We clarify the meaning and relevance of…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Samuel E. Gralla , Daniel E. Holz , Robert M. Wald

This paper investigates the photon ring and shadow structure of the Reissner-Nordstr\"om black hole in the scalar-tensor-vector gravitational framework. The black hole is characterized by the ( MOG) parameter (\alpha) and the charge (Q).…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Qiao Yue , Zhaoyi Xu , Meirong Tang

I introduce a spinor field theory for the photon. The three-dimensional vector electromagnetic field and the four-dimensional vector potential are components of this spinor photon field. A spinor equation for the photon field is derived…

General Physics · Physics 2011-09-20 Ruo Peng Wang

In this paper, we investigate so-called spherical photon orbits around a deformed Kerr black hole with an extra deformation parameter. The change in the azimuth $\Delta\varphi$ and the angle of dragging of nodes per revolution $\Delta\Omega…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Changqing Liu , Chikun Ding , Jiliang Jing

The geodesic equations are considered in static mass imbedded in a uniform electromagnetic field. Due to electromagnetic field horizon shrinks and geodesics are modified. By analyzing the behavior of the effective potentials for the…

General Physics · Physics 2019-07-24 A. Al-Badawi , M. Q. Owaidat , S. Tarawneh

We analyze the scalar radiation emitted by a source in a circular geodesic orbit around a spherically symmetric black hole. The black hole spacetime considered is quite general, in the sense that it encompasses the solutions of…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Rafael Bernar

In this study, we investigate the image of a rotating compact object (CO) illuminated by a geometrically thin, optically thin disk on the equatorial plane. As the radius of the CO's surface fluctuates, the CO may partially or entirely…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Xiangyu Wang , Xiaobao Wang , Hai-Qing Zhang , Minyong Guo

During the last twenty-five years evidence has been mounting that a black-hole surface area has a {\it discrete} spectrum. Moreover, it is widely believed that area eigenvalues are {\it uniformally} spaced. There is, however, no general…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod

A horizonless ultracompact object can have a stable antiphoton sphere, which causes the strong deflection of photons inside the unstable photon sphere, leading to the formation of distinctive inner photon rings. In this work, we present…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Yuan-Xing Gao