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In this paper, we systematically investigate the optical appearance of a Schwarzschild black hole illuminated by three geometrically thin accretion disk models under varying observational inclination angles. Based on the geometric…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Jiawei Chen , Jinsong Yang

Schwarzschild black hole is the simplest black hole that is studied most in detail. Its behavior is best understood by looking at the geodesics of the particles under the influence of its gravitational field. In this paper, the focus of…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Metin Arik , M. Tuna Pesen

Will (1974) treated the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring by solving the perturbation equations in terms of a multipole expansion of the mass-and-rotation perturbation series. In…

General Relativity and Quantum Cosmology · Physics 2018-04-18 P. Čížek , O. Semerák

This paper utilizes the {\it Black Hole Vision} smartphone application to catalyze a pedagogical shift in General Relativity education through the quantitative analysis of simulated black hole imaging. Presented here for the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Lior M. Burko

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

We study the optical appearance of a thin accretion disk around a Schwarzschild black hole pierced by a cosmic string with a semi-analytic method of Luminet [11]. Direct and secondary images with different parameters observed by a distant…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Changqing Liu , Li Tang , Jiliang Jing

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

Astrophysical black holes are usually surrounded by an accretion disk. At least parts of these accretion disks consist of a plasma in which light rays with different energies are dispersed. However, we usually do not know the exact…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Torben C. Frost

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

We study strong gravitational lensing due to a Schwarzschild black hole. Apart from the primary and the secondary images we find a sequence of images on both sides of the optic axis; we call them {\em relativistic images}. These images are…

Astrophysics · Physics 2009-10-31 K. S. Virbhadra , George F. R. Ellis

We developed realistic fully general relativistic computer code for simulation of optical projection in a strong, spherically symmetric gravitational field. Standard theoretical analysis of optical projection for an observer in the vicinity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. Bakala , P. Cermak , S. Hledik , Z. Stuchlik , K. Truparova

In this study, we review some current studies on Gravitational Lensing for black holes, mainly in the context of general relativity. We mainly focus on the analytical studies related to lensing with references to observational results. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Abhishek Chowdhuri , Saptaswa Ghosh , Arpan Bhattacharyya

We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles,…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

We have developed a realistic, fully general relativistic computer code to simulate optical projection in a strong, spherically symmetric gravitational field. The standard theoretical analysis of optical projection for an observer in the…

Astrophysics · Physics 2009-11-13 P. Bakala , P. Cermak , S. Hledik , Z. Stuchlik , K. Truparova

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

In ApJ (1974), Will solved the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring, using Green's functions expressed as infinite-sum expansions in multipoles and in the small mass and rotational…

General Relativity and Quantum Cosmology · Physics 2018-04-09 P. Kotlařík , O. Semerák , P. Čížek

Black holes and other compact objects are powerful tools to observationally test Einsteins theory of General Relativity. We develop raytracing code to create visual images of compact objects that are solutions of Einsteins field equations.…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Frank Imbens

This essay gives a very general introduction to Schwarzschild black holes. First, it focuses on some of its classical features as solutions to Einstein's theory of gravity. In the second part it discusses briefly some specific quantum…

Popular Physics · Physics 2019-01-07 Enrico M. Brehm

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò
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