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Related papers: Photon surfaces in less symmetric spacetimes

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In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Stoytcho Yazadjiev

We investigate in detail the special case of an infinitely thin static cylindrical shell composed of counter-rotating photons on circular geodetical paths separating two distinct parts of Minkowski spacetimes--one inside and the other…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Zofka

A polygonal surface in the pseudo-hyperbolic space H^(2,n) is a complete maximal surface bounded by a lightlike polygon in the Einstein universe Ein^(1,n) with finitely many vertices. In this article, we give several characterizations of…

Differential Geometry · Mathematics 2026-05-05 Alex Moriani

We present different proofs of the uniqueness of 4-dimensional static vacuum asymptotically flat spacetimes containing a connected equipotential photon surface or in particular a connected photon sphere. We do not assume that the…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Carla Cederbaum , Albachiara Cogo , Axel Fehrenbach

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 study the classical geodesic motions of nonzero rest mass test particles and photons in (3+1+n)- dimensional warped product spaces. An important feature of these spaces is that they allow a natural decoupling between the motions in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fabio Dahia , Carlos Romero , Lucio F. P. Silva , Reza Tavakol

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 generalization of photon spheres by considering the trajectories of massive particles leads to the definition of Massive Particle Surfaces (MPS). These surfaces are built with the trajectories of massive particles, and have a partial…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Boris Bermúdez-Cárdenas , Oscar Lasso Andino

Exceptional points in non-Hermitian systems have recently been shown to possess nontrivial topological properties, and to give rise to many exotic physical phenomena. However, most studies thus far have focused on isolated exceptional…

Optics · Physics 2019-02-21 Hengyun Zhou , Jong Yeon Lee , Shang Liu , Bo Zhen

Photon region (PR) in the strong gravitational field is defined as a compact region where photons can travel endlessly without going to infinity or disappearing at the event horizon. In Schwarzschild metric PR degenerates to the…

General Relativity and Quantum Cosmology · Physics 2020-06-15 K. V. Kobialko , D. V. Gal'tsov

We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e.,…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Pedro V. P. Cunha , Emanuele Berti , Carlos A. R. Herdeiro

We discuss the uniqueness of the static spacetimes with non-trivial conformal scalar field. Then, we can show that the spacetime is unique to be the Bocharova-Bronnikov-Melnikov-Bekenstein solution outside the surface composed of the…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Yoshimune Tomikawa , Tetsuya Shiromizu , Keisuke Izumi

In a recent paper, the authors established the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by adapting Bunting and Masood-ul-Alam's proof of static vacuum black hole uniqueness. Here, we establish uniqueness…

Differential Geometry · Mathematics 2016-03-23 Carla Cederbaum , Gregory J. Galloway

The surface of semiconductor nanostructures has a major impact on their electronic and optical properties. Disorder and defects in the surface layer typically cause degradation of charge carrier transport and radiative recombination…

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

We study the classical geodesic motions of nonzero rest mass test particles and photons in five-dimensional warped product spaces. We show that it is possible to obtain a general picture of these motions, using the natural decoupling that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Dahia , C. Romero , L. F. P. Silva , R. Tavakol

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

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

Several uniqueness results for non-compact complete stationary spacelike surfaces in an $n(\geq 3)$-dimensional Generalized Robertson Walker spacetime are obtained. In order to do that, we assume a natural inequality involving the Gauss…

Differential Geometry · Mathematics 2021-09-08 Danilo Ferreira , Eraldo A. Lima , Alfonso Romero

Metasurfaces are a key photonic platform to manipulate classical light using sub-wavelength structures with designer optical response. Static metasurfaces have recently entered the realm of quantum photonics, showing their ability to tailor…

Optics · Physics 2021-07-28 Wilton J. M. Kort-Kamp , Abul K. Azad , Diego A. R. Dalvit