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Related papers: On geodesic dynamics in deformed black-hole fields

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Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we examine what amount of chaoticity is…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

The knowledge of the properties of the different exact solutions modeling binary systems, is a necessary step towards the classification of physically suitable solutions and its corresponding limits of applicability. In the present paper,…

General Relativity and Quantum Cosmology · Physics 2016-09-07 F. L. Dubeibe , José D. Sanabria-Gómez

We study the motion of test particles and the propagation of light around neutral hairy black holes under the influence of a self-interacting real scalar field minimally coupled to gravity. The goal of the present work is to show that the…

High Energy Physics - Theory · Physics 2022-10-18 Weyner Ccuiro , David Choque , Gustavo Valdivia-Mera

We examine the dynamics of particles around a rotating regular black hole. In particular we focus on the effects of the characteristic length parameter of the spinning black hole on the motion of the particles by solving the equation of…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Brandon Bautista-Olvera , Juan Carlos Degollado , Gabriel German

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

Although black holes are eminent manifestations of very strong gravity, the geometry of space-time around and even inside them can be significantly affected by additional bodies present in their surroundings. We study such an influence…

General Relativity and Quantum Cosmology · Physics 2016-08-23 O. Semerák , M. Basovník

Modifying the Kerr-Schild transformation used to generate black and white hole spacetimes, new dynamic black and white holes are obtained using a time-dependent Kerr-Schild scalar field. Physical solutions are found for black holes that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. L. McClure , Kaem Anderson , Kirk Bardahl

Stationary axisymmetric spacetimes containing a pair of oppositely-rotating periodically-intersecting circular geodesics allow the study of various so-called `clock effects' by comparing either observer or geodesic proper time periods of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Donato Bini , Robert T. Jantzen , Bahram Mashhoon

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the previous paper, the rise (and…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Saskia Grunau

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

General Relativity and Quantum Cosmology · Physics 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

Geodesic equations of the vacuum C-metric are derived and solved for various cases. The solutions describe the motion of timelike or null particles with conserved energy and angular momentum. Polar, nearly-circular orbits around weakly…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Yen-Kheng Lim

This paper investigates the metric of previously proposed regular black holes, calculates their effective potentials, and plots the curves of the effective potentials. By determining the conserved quantities, the dynamical equations for…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Zihan Xi , Chen Wu , Wenjun Guo

Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the first paper of this series, the…

General Relativity and Quantum Cosmology · Physics 2013-11-15 P. Suková , O. Semerák

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing

Null and timelike geodesics around a 2+1 black hole are determined. Complete geodesics of both types exist in the rotating black-hole background, but not in the spinless case. Upper and lower bounds for the radial size of the orbits are…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Norman Cruz , Cristián Martínez , Leda Peña

The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field…

General Relativity and Quantum Cosmology · Physics 2023-01-11 R. A. Konoplya
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