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In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

We describe general features of formation and disappearance of regular spherically symmetric black holes in semiclassical gravity. The allowed models are critically dependent on the requirement that the resulting objects evolve in finite…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Pravin Kumar Dahal , Ioannis Soranidis , Daniel R. Terno

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We carry out a systematic study on the motion of test particles in the region inner to the horizon of a hyperbolically symmetric black hole. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with…

General Relativity and Quantum Cosmology · Physics 2020-04-08 L. Herrera , A. Di Prisco , J. Ospino , L. Witten

We give a fully analytical description of radial and angular geodesics for massive particles that travel in the spacetime provided by a (3+1)-dimensional scale-dependent black hole in the cosmological background, for which, the quantum…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Mohsen Fathi

We provide a description of a thin accretion disc for a static spherically symmetric black holes in $f(R)$ gravity. In this regard, we first study the horizons of black holes in $f(R)$ gravity. The equation of motion and effective potential…

General Relativity and Quantum Cosmology · Physics 2020-04-02 Saheb Soroushfar , Sudhaker Upadhyay

The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$. These parameters are obtained by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Wolfram Schmidt

The study of circular orbits in spacetime is of astrophysical importance. The identification and classification of circular orbits in both static and stationary spacetimes remains an active area of interest. Even in the simplest static…

General Relativity and Quantum Cosmology · Physics 2019-06-07 Sheref Nasereldin , Kayll Lake

In this note we take a dynamical systems approach to the equations of motion of a free test particle moving around a spherically symmetric static dilaton black hole, written in the Einstein frame. The equations of motion are obtained using…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Paul Blaga , Cristina Blaga

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

We examine geodesics for scalar-tensor black holes in the Horndeski-Galileon non-minimal kinetic coupling framework. Our analysis shows that bound orbits may not be present within some model parameters range. Using the observational data we…

General Relativity and Quantum Cosmology · Physics 2016-10-13 D. A. Tretyakova

In this paper we will study the geodesic motion of massive particles, in a Schwarzschild background, with a semi-classical quantum framework called "Polymer Quantum Mechanics" (PQM) in order to investigate the black hole phenomenology…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Lorenzo Boldorini , Corrado Marzano , Giovanni Montani

In this work, we study the motion of charged test particles in Kerr-Newman-Taub-NUT spacetime. We analyze the angular and the radial parts of the orbit equations and examine the possible orbit types. We also investigate the spherical orbits…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Hakan Cebeci , Nülifer Özdemir , Seçil Şentorun

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. N. Aliev , N. Ozdemir

It is addressed the issue of black holes with nonlinear electromagnetic field, focussing mainly in the Born-Infeld case. The main features of these systems are described, for instance, geodesics, energy conditions, thermodynamics and…

High Energy Physics - Theory · Physics 2007-05-23 Nora Breton , Ricardo Garcia-Salcedo

In this work, we study gravitational wave emission from periodic orbits of test particles, analyze quasi periodic oscillations, and constrain the parameters of the static, spherically symmetric Einstein nonlinear Maxwell Yukawa black hole.…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Oreeda Shabbir , Abubakir Shermatov , Bushra Majeed , Tehreem Zahra , Mubasher Jamil , Javlon Rayimbaev

Equatorial motion of test particles in the Kerr-de Sitter spacetimes is considered. Circular orbits are determined, their properties are discussed for both the black-hole and naked-singularity spacetimes, and their relevance for thin…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Z. Stuchlik , P. Slany

We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. Being interested in dynamical properties…

High Energy Astrophysical Phenomena · Physics 2016-08-14 Ondřej Kopáček , Jiří Kovář , Vladimír Karas , Zdeněk Stuchlík

We derive a necessary condition for the existence of marginally stable circular orbits of test particles in stationary axisymmetric spacetimes which possess a refection symmetry with respect to the equatorial plane; photon orbits are also…

General Relativity and Quantum Cosmology · Physics 2016-08-08 Shabnam Beheshti , Edgar Gasperin