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A black hole's gravitational pull can deflect light rays to an arbitrary degree. As a result, any source fluctuation near the black hole creates multiple lagged images on an observer's screen. For optically thin stochastic emission, these…

High Energy Astrophysical Phenomena · Physics 2025-12-11 Barbora Bezděková , Shahar Hadar , George Wong , Maciek Wielgus

Compact objects with a light sphere such as black holes and wormholes can reflect light rays like a mirror. This gravitational lensing phenomenon is called retrolensing and it is an interesting tool to survey dark and compact objects with a…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Naoki Tsukamoto , Yungui Gong

These are the lecture notes for an introductory course on black holes and some aspects of their interaction with the classical and quantum world. The focus is on phenomena of "fundamental physics" in the immediate surroundings of the black…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto Emparan , Elvis Barakovic , Roukaya Dekhil , Filip Rescic

The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Petrov

Black holes are among the most intriguing objects in modern physics. Their influence ranges from powering quasars and other active galactic nuclei, to providing key insights into quantum gravity. We review the observational evidence for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gary T. Horowitz , Saul A. Teukolsky

The merging of quantum information science with the relativity theory presents novel opportunities for understanding the enigmas surrounding the transmission of information in relation to black holes. For this purpose, we study the…

General Relativity and Quantum Cosmology · Physics 2024-01-23 S. Haddadi , M. A. Yurischev , M. Y. Abd-Rabbou , M. Azizi , M. R. Pourkarimi , M. Ghominejad

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

Quantum-gravity effects in black holes are generally expected to be unobservable if they set in at transplanckian curvature scales. Here, we challenge this expectation. A near-critical spin parameter can serve as a lever arm that translates…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Astrid Eichhorn , Aaron Held

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

Recent advances, including gravitational wave detections and imaging of black hole shadows, have strongly validated general relativity. Nevertheless, ongoing cosmological observations suggest potential limitations of general relativity,…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Ali Övgün , Mohsen Fathi

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

Black holes hold a tremendous discovery potential. In this paper the extent to which the Event Horizon Telescope and its next generation upgrade can resolve their structure is quantified. Black holes are characterized by a perfectly…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Raúl Carballo-Rubio , Vitor Cardoso , Ziri Younsi

In this work, we have studied weak gravitational lensing effect around black hole and determine shadow radius in GUP-corrected-Schwarzschild spacetime (S-GUP) in presence of plasma environment. We started with orbits of photons around black…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Husanboy Hoshimov , Odil Yunusov , Farruh Atamurotov , Mubasher Jamil , Ahmadjon Abdujabbarov

We investigate the detectability of gravitational waves that have been lensed by a spinless stellar-mass black hole, with respect to the advanced LIGO. By solving the full relativistic linear wave equations in the spacetime of a…

High Energy Astrophysical Phenomena · Physics 2024-01-23 Chengjiang Yin , Jian-hua He

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil

Our understanding of space and time is probed to its depths by black holes. These objects, which appear as a natural consequence of general relativity, provide a powerful analytical tool able to examine macroscopic and microscopic…

Astrophysics · Physics 2015-06-24 Jean-Pierre Luminet

When there is more than one source of light along the line of sight to a gravitationally lensed object, the characteristics of the observed light curve are influenced by the presence of the light that is not lensed. In this paper we develop…

Astrophysics · Physics 2009-10-28 R. DiStefano , A. A. Esin

A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

The gravitational lensing effects in the weak gravitational field by exotic lenses have been investigated intensively to find nonluminous exotic objects. Gravitational lensing based on 1/r^n fall-off metric, as a one-parameter model that…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Naoki Tsukamoto , Takao Kitamura , Koki Nakajima , Hideki Asada