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This study investigates the gravitational dynamics of a spherically symmetric black hole embedded within a dark matter halo, focusing on the impact of the dark matter halo on time-like particle geodesics. We analyze key orbital parameters,…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Sumarna Haroon , Tao Zhu

We investigate local and global properties of timelike geodesics in three static spherically symmetric spacetimes. These properties are of its own mathematical relevance and provide a solution of the physical `twin paradox' problem. The…

General Relativity and Quantum Cosmology · Physics 2014-06-05 Leszek M. Sokołowski , Zdzisław A. Golda

The paper studies the uniqueness and the monotonicity of the mass-spin relation of black holes the X-ray power density spectra of which contain twin high-frequency quasi-periodic oscillations in 3:2 ratio. It is found that for geodesic…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Ivan Zhivkov Stefanov

Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank two. We prove…

Differential Geometry · Mathematics 2020-10-09 Nikolaos Panagiotis Souris

The sum of squared epicyclic frequencies of nearly circular motion ($\omega_r^2+\omega_\theta^2$) in axially symmetric configurations of Newtonian gravity is known to depend both on the matter density and on the angular velocity profile of…

General Relativity and Quantum Cosmology · Physics 2017-02-13 Ronaldo S. S. Vieira , Włodek Kluźniak , Marek Abramowicz

We investigate equatorial periodic orbits and their gravitational wave radiation in the spacetime of an Euler--Heisenberg (EH) black hole surrounded by perfect fluid dark matter (PFDM). The combined effects of quantum electrodynamic…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Dhruba Jyoti Gogoi , Jyatsnasree Bora , Ali Övgün

In this article the geodesic motion of test particles in the spacetime of a supersymmetric AdS$_5$ black hole is studied. The equations of motion are derived and solved in terms of the Weierstrass $\wp$, $\sigma$ and $\zeta$ functions.…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Jens-Christian Drawer , Saskia Grunau

The purpose of this paper is to examine the epicyclic motion of charged particles in the vicinity of a magnetically charged stringy black hole subject to an electromagnetic field. This investigation is motivated by the established fact that…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Sanjar Shaymatov , Kimet Jusufi , Mirzabek Alloqulov , Bobomurat Ahmedov

We compute the length and timescales associated with resonant orbits in the Kerr Metric for all orbital and spin parameters. Resonance induced effects are potentially observable when the Event Horizon telescope resolves the inner structure…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Jeandrew Brink , Marisa Geyer , Tanja Hinderer

In this note we examine the circular time-like geodesics near a spherically symmetric dilaton black hole, described using the exact solution for a static charged black hole found by Gibbons and Maeda and, independently, by Garfinkle,…

General Relativity and Quantum Cosmology · Physics 2014-07-01 C. Blaga

Rotating black holes are prevalent in astrophysical observations, and a Kerr-like solution that incorporates quantum gravity effects is essential for constructing realistic models. In this work, we analyze the geodesic motion of massive…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Zhiyang Guo , Chen Lan , Yan Liu

This paper gives a complete characterization of resonant orbits in a Kerr spacetime. A resonant orbit is defined as a geodesic for which the longitudinal and radial orbital frequencies are commensurate. Our analysis is based on expressing…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Jeandrew Brink , Marisa Geyer , Tanja Hinderer

Experiments in coherent nuclear and electron magnetic resonance, and optical spectroscopy correspond to control of quantum mechanical ensembles, guiding them from initial to final target states by unitary transformations. The control inputs…

Quantum Physics · Physics 2009-11-13 Haidong Yuan , Steffen J. Glaser , N. Khaneja

In this work, we investigate bound periodic orbits of timelike particles in the spacetime of dyonic black holes arising from quasi-topological electromagnetic theory. By varying the coupling parameter $\alpha_1$, the corresponding black…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Chao-Hui Wang , Yu-Peng Zhang , Tao Zhu , Shao-Wen Wei

Gravitational wave signals from asymmetric binary black hole systems have been shown to exhibit additional chirps beyond the primary merger chirp in the post-merger region of the time-frequency domain. These secondary post-merger chirps…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Chad Henshaw , Alice Heranval , Laura Cadonati

We investigate bound and periodic timelike geodesics and their associated gravitational-wave (GW) signatures in the spacetime of a regular black hole arising in asymptotically safe gravity (ASG). The geometry incorporates quantum…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Arun Kumar , Abolhassan Mohammadi , Sushant G. Ghosh

Even- and odd-frequency superconductivity coexist due to broken time-reversal symmetry under magnetic field. In order to describe this mixing, we extend the linearized Eliashberg equation for the spin and charge fluctuation mechanism in…

Superconductivity · Physics 2018-01-17 Kiyu Fukui , Yusuke Kato

This article investigates the geodesic structure and deflection angle of charged black holes in the presence of a nonzero vacuum expectation value background of the Kalb-Ramond field. Topics explored include null and timelike geodesics,…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Ahmad al-Badawi , Sanjar Shaymatov , Izzet Sakallı

We study the quasi-periodic oscillations from the accretion disk around rotating traversable wormholes by means of the resonance models. We investigate the linear stability of the circular geodesic orbits in the equatorial plane for a…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Efthimia Deligianni , Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev , Radostina Zheleva

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