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We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Igor Nikitin

I discuss a solution to the dark energy problem, which arises when the visible universe is approximated by a black hole, in a quasi-static asymptotically-flat approximation. Using data, provided by WMAP7, I calculate the Schwarzschild…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-14 Paul Howard Frampton

Black hole physics currently lacks a fully coherent understanding of the black hole mass (density), entropy, and interior (non-)singularity. These concepts are related to the black hole radius, area (of the horizon), and volume (within the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Arno Keppens , Lester Kurvers

In this work, we exactly derive the solution for the gravitational field of a black hole in Eddington-inspired Born-Infeld (EiBI) gravity, surrounded by perfect fluid dark matter. We analyze how the event horizon and the black hole…

General Relativity and Quantum Cosmology · Physics 2026-03-11 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

We discuss a sufficiently large 4-dimensional Schwarzschild black hole which is in equilibrium with a heat bath. In other words, we consider a black hole which has grown up from a small one in the heat bath adiabatically. We express the…

High Energy Physics - Theory · Physics 2015-06-03 Hikaru Kawai , Yuki Yokokura

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

In this paper, by exploring the photon motion in the region near the Bardeen black hole, the shadow and observation properties of the black hole surrounded by various accretion models are studied. We analyzed the changes in shadow imaging…

High Energy Physics - Theory · Physics 2022-08-17 Ke-Jian He , Sen Guo , Shuang-Cheng Tan , Guo-Ping Li

We investigate the light deflection and the shadow characteristics of a non-minimally coupled Horndeski black hole surrounded by a magnetized, cold, pressureless plasma medium, while considering both homogeneous and non-homogeneous plasma…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Shubham Kala , Jaswinder Singh

We derive the equation governing the axial-perturbations in the space-time of a non-rotating uncharged primordial black hole (PBH), produced in early Universe, whose metric is taken as the generalized McVittie metric. The generalized…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Arnab Sarkar , Sabiruddin Molla , K. Rajesh Nayak

We explore the characteristics of shadows for a general class of spherically symmetric, static spacetimes, which may arise in general relativity or in modified theories of gravity. The chosen line element involves a sum (with constant but…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Md. Golam Mafuz , Rishank Diwan , Soumya Jana , Sayan Kar

We study spherical black-hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical unit timelike vector (the "aether") that defines a preferred timelike direction.…

General Relativity and Quantum Cosmology · Physics 2011-07-11 Enrico Barausse , Ted Jacobson , Thomas P. Sotiriou

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

We consider the most general static spherically symmetric black hole metric. The accretion of the fluid flow around the Van der Waal's black hole is investigated and we calculate the fluid's four-velocity, the critical point and the speed…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Sandip Dutta , Ritabrata Biswas

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Nikodem Popławski

Astrophysical observations provide compelling evidence for the existence of dark matter, a non-luminous component dominating the universe's mass-energy budget. Its gravitational influence is well-established on galactic scales; however,…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jan Kuncewicz

We consider a self-consistent system of Bianchi type-I (BI) gravitational field and a binary mixture of perfect fluid and dark energy. The perfect fluid is taken to be the one obeying the usual equation of state, i.e., $p = \zeta \ve$, with…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Bijan Saha

In this paper, we have investigated the phenomenon of accelerated cosmic expansion in the late universe and the mass accretion process of a 4-dimensional Einstein-Aether black hole. Starting with the basics of Einstein-Aether gravity…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Puja Mukherjee , Ujjal Debnath , Himanshu Chaudhary , G. Mustafa

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino

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

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko
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