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A distinct visual signature occurs in black holes that are surrounded by optically thin and geometrically thick emission regions. This signature is a sharp-edged dip in brightness that is coincident with the black-hole shadow, which is the…

High Energy Astrophysical Phenomena · Physics 2021-11-03 Thomas Bronzwaer , Heino Falcke

It was suggested earlier that the gravitational redshift formula can be invalid when the effect of the backscattering is strong. It is demonstrated here numerically, for an exemplary electromagnetic pulse that is: i) initially located very…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Janusz Karkowski , Edward Malec

We consider a simple spherical model consisting of a Schwarzschild black hole of mass $M$ and a dark matter of mass $\Delta M$ around it. The general formula for the radius of black-hole shadow has been derived in this case. It is shown…

General Relativity and Quantum Cosmology · Physics 2019-06-05 R. A. Konoplya

We obtain the shadow cast induced by the rotating black hole with an anisotropic matter. A Killing tensor representing the hidden symmetry is derived explicitly. The existence of separability structure implies a complete integrability of…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Bum-Hoon Lee , Wonwoo Lee , Yun Soo Myung

We study the shadow cast by the H$D$ Schwarzschild-Tangherlini black hole, and analytically calculate the influence of extra dimensions on the shadow of a black hole. A black hole casts a shadow as an optical appearance because of its…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Balendra Pratap Singh , Sushant G. Ghosh

First sketch of black hole from M87 galaxy was obtained by Event Horizon Telescope, recently. As appearance of black hole shadow reflects space-time geometry of black holes, observations of black hole shadow may be a promising way to test…

General Relativity and Quantum Cosmology · Physics 2020-06-30 Zhe Chang , Qing-Hua Zhu

The cosmological redshift phenomenon can be described by the dark matter field fluid model, the results deduced from this model agree very well with the observations. The observed cosmological redshift of light depends on both the speed of…

General Physics · Physics 2007-05-23 Hongjun Pan

We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has surprisingly rich dynamics, which includes prompt…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Vitor Cardoso , Jorge V. Rocha

Using a 3+1 decomposition of spacetime, we derive a new formula to compute the gravitational light shifts as measured by two observers which are normal to the spacelike hypersurfaces defining the foliation. This formula is quite general and…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Cesar Merlin , Marcelo Salgado

We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski

In this paper we analyze the frequency shifts of the light emitted by particles describing stable circular geodesics around a static black hole immersed in an external magnetic field of arbitrary strength. This system is represented by the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 L. A. López , Nora Bretón

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. J. Adler , J. D. Bjorken , P. Chen , J. S. Liu

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

Superposition of gravitational waves generated by astrophysical sources is expected to give rise to the stochastic gravitational-wave background. We focus on the background generated by the ring-down of black holes produced in the stellar…

General Relativity and Quantum Cosmology · Physics 2015-09-16 K. Crocker , V. Mandic , T. Regimbau , K. Belczynski , W. Gladysz , K. Olive , T. Prestegard , E. Vangioni

The present paper deals with the gravitational collapse of an inhomogeneous spherical star consisting of dust fluid in the background of dark energy components with linear equation of state. We discussed the development of apparent horizon…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Anjali Pandey , Rajesh Kumar , Sudhir Kumar Srivastava

We study the shadow of a charged rotating black hole in $f(R)$ gravity. This black hole is characterized by mass, $M$, spin, $a$, electric charge, $Q$ and $R_{0}$ which is proportional to cosmological constant. We analyze the image of the…

General Relativity and Quantum Cosmology · Physics 2022-10-06 Sara Dastan , Reza Saffari , Saheb Soroushfar

We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

The gravitational redshift formula is usually derived in the geometric optics approximation. In this note we consider an exact formulation of the problem in the Schwarzschild space-time, with the intention to clarify under what conditions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Malec

In this article, we study the shadow produced by rotating black holes with a tidal charge in a Randall-Sundrum braneworld model, with a cosmological constant. We obtain the apparent shape and the corresponding observables for different…

General Relativity and Quantum Cosmology · Physics 2018-02-02 Ernesto F. Eiroa , Carlos M. Sendra

Advancements in the black hole shadow observations may allow us not only to investigate physics in the strong gravity regime, but also to use them in cosmological studies. In this paper, we propose to use the shadow of supermassive black…

General Relativity and Quantum Cosmology · Physics 2020-02-21 Oleg Yu. Tsupko , Zuhui Fan , Gennady S. Bisnovatyi-Kogan