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The shadow of a black hole serves as a pristine window into the strong-gravity regime, with cuspy feature emerging as a smoking-gun signature of physics beyond the Kerr paradigm. In this paper, we extend the work of [arXiv:2601.15612…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Shao-Wen Wei , Yu-Xiao Liu

We consider the periapsis shifts of bound orbits of stars on static clouds around a black hole. The background spacetime is constructed from a Schwarzschild black hole surrounded by a static and spherically symmetric self-gravitating system…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Takahisa Igata , Tomohiro Harada , Hiromi Saida , Yohsuke Takamori

This paper considers the spherically symmetric gravitational collapse in the background of Chaplygin gas as dark energy component. The dark energy is assumed to be generalized and modified Chaplygin gas. The exterior of the star is…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Anjali Pandey , Rajesh Kumar , Sudhir Kumar Srivastava

The shadow of a black hole or a collapsing star is of great importance as we can extract important properties of the object and of the surrounding spacetime from the shadow profile. It can also be used to distinguish different types of…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Sagnik Roy , Soham Chatterjee , Ratna Koley

We analyze gravitational lensing, in particular the shadow and photon rings, in the Ernst spacetime, also known as the Schwarzschild-Melvin spacetime, which describes a Schwarzschild black hole immersed in a homogenous magnetic field.…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Muhammad Haider Khan , Volker Perlick

The image of a black hole (BH) consists of direct and secondary images that depend on the observer position. We investigate the optical appearance of a Schwarzschild BH in the context of a string cloud to reveal how the BH's observable…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Sen Guo , Yu-Xiang Huang , Guo-Ping Li

The curved spacetime induced by gravitational waves can give rise to visual effects such as geometric distortions and redshift structures in the observed image. By establishing a mapping from the object's surface coordinates to the…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Ke Wang , Chao-Jun Feng

The formation of a cusp on a black hole shadow is a striking signature of physics beyond the Kerr paradigm. We demonstrate that this morphological change fundamentally alters the shadow's topology with the topological charge flipping from 1…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Shao-Wen Wei , Chao-Hui Wang , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

A brief illustrative discussion of the shadows of black holes at local and cosmological distances is presented. Starting from definition of the term and discussion of recent observations, we then investigate shadows at large, cosmological…

General Relativity and Quantum Cosmology · Physics 2019-10-24 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko , V. Perlick

Traditionally the spherical collapse of objects is studied with respect to a uniform background density, yielding the critical over-density $\delta_\mathrm{c}$ as key ingredient to the mass function of virialized objects. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Robert Reischke , Francesco Pace , Sven Meyer , Björn Malte Schäfer

We propose a novel concept of astrophysical mirroring in the schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Bikramarka S Choudhury , Aritra Sanyal , Md Khalid Hossain , Farook Rahaman

We consider an observer who moves under the horizon of the Schwarzschild black hole and absorbs a photon. There are two different situations when (i) a photon comes from infinity, (ii) it is emitted by another observer under the horizon…

General Relativity and Quantum Cosmology · Physics 2020-04-22 O. B. Zaslavskii

The shadow of a black hole can be one of the strong observational evidences for stationary black holes. If we see shadows at the center of galaxies, we would say whether the observed compact objects are black holes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Naoki Tsukamoto

Usually, interpretation of redshift in static spacetimes (for example, near black holes) is opposed to that in cosmology. In this methodological note we show that both explanations are unified in a natural picture. This is achieved if…

General Relativity and Quantum Cosmology · Physics 2018-03-02 A. Toporensky , O. Zaslavskii , S. Popov

We analytically calculate the influence of a plasma on the shadow of a black hole (or of another compact object). We restrict to spherically symmetric and static situations, where the shadow is circular. The plasma is assumed to be…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Volker Perlick , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

Black hole shadows and photon spheres offer valuable tools for investigating black hole properties. Recent observations by the Event Horizon Telescope Collaboration have confirmed the existence of rotating black holes. Black hole parameters…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Vitalii Vertogradov , Ali Övgün , Reggie C. Pantig

We find that a \textit{slowly} rotating axion-modified black hole resulting from the backreaction of an axion field on a rotating Kerr black hole can have a \textit{D-shaped} shadow as that for a \textit{highly} counter-rotating Kerr black…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Xiao-Mei Kuang , Yuan Meng , Eleftherios Papantonopoulos , Xi-Jing Wang

This paper investigates the shadow of a charged rotating non-commutative black hole. For this purpose, we first formulate the null geodesics and study the effects of non-commutative charge on the photon orbit. We then explore the effect of…

General Relativity and Quantum Cosmology · Physics 2016-12-21 M. Sharif , Sehrish Iftikhar

For most of cosmic history, the evolution of our Universe has been governed by the physics of a 'dark sector', consisting of dark matter and dark energy, whose properties are only understood in a schematic way. The influence of these…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Øyvind Christiansen , Julian Adamek , Farbod Hassani , David F. Mota

We study the deflection of light (and the redshift, or integrated time delay) caused by the time-dependent gravitational field generated by a localized material source lying close to the line of sight. Our calculation explicitly takes into…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Gilles Esposito-Farese
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