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Light deviation around a rotating black hole is calculated using the Kerr metric for both small and large deviation angles. For small angles the Lindstedt-Poincar\'e method is employed to get well-behaved solutions, as well as Pad\'e…

General Relativity and Quantum Cosmology · Physics 2021-12-16 Pablo Ruales , Carlos Marín

We propose a method to determine the mass and spin of primordial black holes based on measuring the energy and emission rate at the dipolar and quadrupolar peaks in the primary photon Hawking spectrum, applicable for dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Marco Calzà , João G. Rosa

In this paper we study the qualitative features induces by corrections to GR coming from String Theory, on the shadows of rotating black holes. We deal with the slowly rotating black hole solutions up to order $\mathcal{O}(a^3)$, to first…

General Relativity and Quantum Cosmology · Physics 2024-06-26 F. Agurto-Sepúlveda , J. Oliva , M. Oyarzo , D. R. G Schleicher

We establish a thermodynamic-optical duality that directly bridges the semiclassical quantum evaporation of black holes with their classical macroscopic geometry. By employing a diffeomorphic inversion, we re-parameterize the intrinsic…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Nikko John Leo S. Lobos , Emmanuel T. Rodulfo

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

In this paper, we use a suitable conformal rescaling to construct static and rotating regular black holes in conformal massive gravity. The new metric is characterized by the mass $M$, the "scalar charge" $Q$, the angular momentum parameter…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Kimet Jusufi , Mubasher Jamil , Hrishikesh Chakrabarty , Qiang Wu , Cosimo Bambi , Anzhong Wang

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev

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

The growth of a massive black hole will steepen the cold dark matter density at the center of a galaxy into a dense spike, enhancing the prospects for indirect detection. We study the impact of black hole spin on the density profile using…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 Francesc Ferrer , Augusto Medeiros da Rosa , Clifford M. Will

The apparent shadow of a black hole provides one of the most direct probes of strong-field general relativity. While the shadow size in asymptotically flat spacetimes is well understood, the influence of cosmic expansion on its apparent…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Debarshi Mukherjee

This work is geared towards analysis of shadows cast by Kerr-de Sitter (KdS) and Kerr-de Sitter Revisited (RKdS) black holes. Considering observers in the vicinity of the static radius, we derive the impact parameters defining the apparent…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Eunice Omwoyo , Humberto Belich , Júlio C. Fabris , Hermano Velten

We examine the shadow cast by a Kerr black hole pierced by a cosmic string. The observable images depend not only on the black hole spin parameter and the angle of inclination, but also on the deficit angle yielded by the cosmic string. The…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Vassil K. Tinchev , Stoytcho S. Yazadjiev

NuSTAR observed the black hole candidate XTE J1908$+$094 during its 2013 and 2019 outbursts. We use relativistic reflection to measure the spin of the black hole through 19 different assumptions of relxill flavors and parameter…

High Energy Astrophysical Phenomena · Physics 2021-10-27 Paul A. Draghis , Jon M. Miller , Abderahmen Zoghbi , Elias S. Kammoun , Mark T. Reynolds , John A. Tomsick

We propose a theoretical principle to measure the mass, spin and direction of spin axis of Kerr black holes (BHs) through observing 2 quantities of the spinning strong gravitational lens effect of BHs. Those observable quantities are…

High Energy Astrophysical Phenomena · Physics 2017-05-17 Hiromi Saida

We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our purpose is to examine whether one can determine three…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Kenta Hioki , Umpei Miyamoto

We propose a new parametrization for testing the Kerr nature of astrophysical black hole candidates. The common approaches focus on the attempt to constrain possible deviations from the Kerr solution described by new terms in the metric.…

General Relativity and Quantum Cosmology · Physics 2016-05-31 M. Ghasemi-Nodehi , Cosimo Bambi

In this work, we explore the properties and shadows of spin-induced scalarized black holes, as well as investigate how a Ricci coupling influences them. Our findings reveal significant deviations from the Kerr metric in terms of the…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Pedro G. S. Fernandes , Clare Burrage , Astrid Eichhorn , Thomas P. Sotiriou

We extract elegant and concise analytic formulae for the mass and rotation parameters of the Kerr black hole as well as its distance from the Earth only in terms of directly measurable quantities of the accretion disk revolving in the black…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Mehrab Momennia

Since the full General Theory of Relativity has been unveiled to the scientific community in 1915, many solutions to the vacuum Einstein field equations have been found and studied. This paper aims at documenting exhaustively the derivation…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Onur Uçanok

It is well known that celestial bodies tend to be spherical due to gravity and that rotation produces deviations from this sphericity. We discuss what is known and expected about the shape of black holes' horizons from their formation to…

General Relativity and Quantum Cosmology · Physics 2015-03-11 María E. Gabach Clement
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