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Is it possible to find imprints of a black hole ringdown through gravitational lensing? To address this question, we formulate an analytic description of weak-field and strong-deflection lensing of light in a time-dependent, perturbed…

High Energy Physics - Theory · Physics 2026-02-13 Reggie C. Pantig

In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

An analytical model of a parabolic screen illuminating a black hole is proposed. This allows to avoid naturally the appearance of edge effects associated with photons moving along the plane of the screen. The temperature distribution along…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Elena V. Mikheeva , Serge Repin , Vladimir N. Lukash

Tidal perturbations play an important role in the study of the dynamics in the classical two-body system. Understanding tidal effects in strong-field regions may allow one to use gravitational-wave or electromagnetic observations to locate…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Vitor Cardoso , Arianna Foschi

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

In Einstein-{\AE}ther theory, the Lorentz symmetry is locally broken in the high-energy regime due to the presence of the{\AE}ther field. This shall leave significant imprint on astronomical observation. In this paper, we investigate the…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Hui-Min Wang , Zi-Chao Lin , Shao-Wen Wei

We propose a quantum gravity equation owing to the geometrical quantization of general relativity, namely the Schr\"{o}dinger-Einstein equation. Quantum effects of a Schwarzschild black hole are demonstrated by solving the quantum equation…

General Physics · Physics 2022-05-24 Yoshimasa Kurihara

Bending of light rays by gravitational sources is one of the first evidences of the general relativity. When the gravitational souce is a stationary massive object such as a black hole, the bending angle has an integral representation, from…

High Energy Physics - Theory · Physics 2021-07-07 Tadashi Sasaki , Hisao Suzuki

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling onto a Schwarzschild black hole. The streamlines start at a spherical shell, where boundary conditions are…

High Energy Astrophysical Phenomena · Physics 2012-12-20 Emilio Tejeda , Sergio Mendoza , John C. Miller

The first fully integrated explicit exact solution of the Einstein field equations corresponding to the superposition of a counterrotating dust disk with a central black hole is presented. The obtained solution represents an infinite…

General Relativity and Quantum Cosmology · Physics 2008-11-20 Guillermo A. González , Antonio C. Gutiérrez-Piñeres

We investigate the shadow of an exact black hole solution of Einstein's equations recently proposed by Cardoso et al., to describe a supermassive black hole immersed in a dark matter halo. We analyze and discuss the light rings and the…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Sérgio V. M. C. B. Xavier , Haroldo C. D. Lima Junior , Luís C. B. Crispino

We investigate a generalized Chaplygin-like gas with an anisotropic equation of state, characterizing a dark fluid within which a static spherically symmetric black hole is assumed. By solving the Einstein equations for this black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Mohsen Fathi , J. R. Villanueva , Gilberto Aguilar-Pérez , Miguel Cruz

Applying Dirac's procedure to $r$-dependent constrained systems, we derive a reduced total Hamiltonian, resembling an upside down harmonic oscillator, which generates the Schwarzschild solution in the mini super-spacetime. Associated with…

General Relativity and Quantum Cosmology · Physics 2014-02-03 Aharon Davidson , Ben Yellin

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

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

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

We model the general relativistic interaction of a small hyperelastic sphere with a Schwarzschild black hole as it follows an initially marginally-bound orbit through a close encounter. While the interaction reveals effects that are encoded…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Nishita Jadoo , J. David Brown , Charles R. Evans

We study the linear polarization of the accretion disk around black holes with a dark matter halo. The interaction of the black hole with the dark matter is modelled by considering an exact solution to the Einstein equations which describes…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Tsanimir Angelov , Rasim Bekir , Galin Gyulchev , Petya Nedkova , Stoytcho Yazadjiev

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

The motion with intersections of relativistic gravitating shells in the Schwarzschild gravitational field of a central body is considered. Formulas are derived for calculating parameters of the shells after intersection via their parameters…

Astrophysics · Physics 2009-11-07 M. V. Barkov , V. A. Belinski , G. S. Bisnovatyi-Kogan