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Extreme-mass-ratio inspirals, in which a stellar-mass object orbits a supermassive black hole, are prime sources of millihertz gravitational waves for upcoming space-based detectors. While most studies assume idealized vacuum backgrounds,…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Kyriakos Destounis , Pedro G. S. Fernandes

In this paper, we study the periodic orbits of massive particles around two quantum-corrected black holes proposed in effective quantum gravity, and explore the quantum gravity effect on both the particle orbits and the associated…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Jiawei Chen , Jinsong Yang

The study of spinning bodies moving in curved spacetime has relevance to binary black hole systems with large mass ratios, as well as being of formal interest. At zeroth order in a binary's mass ratio, the smaller body moves on a geodesic…

General Relativity and Quantum Cosmology · Physics 2023-10-23 Lisa V. Drummond , Alexandra G. Hanselman , Devin R. Becker , Scott A. Hughes

This work investigates the echoes in axial gravitational perturbations in compact objects. To this end, we propose an alternative scheme of the finite difference method implemented in two coordinate systems, where the initial conditions are…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Kai Lin , Wei-Liang Qian

Gravitational wave echoes from the black holes have been suggested as a crucial observable to probe the spacetime in the vicinity of the horizon. In particular, it was speculated that the echoes are closely connected with specific…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Hang Liu , Wei-Liang Qian , Yunqi Liu , Jian-Pin Wu , Bin Wang , Rui-Hong Yue

The regular Hayward model describes a non-singular black hole space-time. By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Jian-Ping Hu , Yu Zhang , Li-Li Shi , Peng-Fei Duan

The presence of extra dimensions generically modify the spacetime geometry of a rotating black hole, by adding an additional hair, besides the mass $M$ and the angular momentum $J$, known as the `tidal charge' parameter, $\beta$. In a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Akash K Mishra , Abhirup Ghosh , Sumanta Chakraborty

Multiplicities of periodic orbit lengths for non-arithmetic Hecke triangle groups are discussed. It is demonstrated both numerically and analytically that at least for certain groups the mean multiplicity of periodic orbits with exactly the…

Chaotic Dynamics · Physics 2009-11-10 Eugene Bogomolny , Charles Schmit

In this article we mainly aim to know what kind of asymptotic behavior of typical orbits can display. For example, we show in any transitive system, the emprical measures of a typical orbit can cover all emprical measures of dense orbits…

Dynamical Systems · Mathematics 2021-11-15 Xiaobo Hou , Wanshan Lin , Xueting Tian

In this paper, we have examined the geodesic structure of the spacetime surrounding Schwarzschild black holes in the presence of a quintessence field parameter $q$ and string cloud parameter $a$. Because of the quintessence field, there are…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Surya Shankar R

We study the kinematics of timelike geodesic congruences, in the spacetime geometry of rotating black holes in three (the BTZ) and four (the Kerr) dimensions. The evolution (Raychaudhuri) equations for the expansion, shear and rotation…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Anirvan DasGupta , Hemwati Nandan , Sayan Kar

A general study of the stability of equatorial circular orbits in static axially symmetric gravitating systems is presented. Important circular geodesics as the marginally stable orbit, the marginally bounded orbit and the photon orbit are…

General Relativity and Quantum Cosmology · Physics 2011-04-05 Guillermo A. González , Framsol López-Suspes

Boson stars are horizonless compact objects and they could possess novel geodesic orbits under the equilibrium assumption, which differ from those in black hole backgrounds. However, unstable boson stars may collapse into black holes or…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Yu-Peng Zhang , Shi-Xian Sun , Yong-Qiang Wang , Shao-Wen Wei , Pablo Laguna , Yu-Xiao Liu

This paper investigates the orbital dynamics and gravitational wave radiation characteristics of neutral test particles around a static spherically symmetric charged black hole (BH) in 4D Einstein-Gauss-Bonnet (4D-EGB) gravity theory. We…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Liping Meng , Zhaoyi Xu , Meirong Tang

It has recently been conjectured [A. Ianniccari {\it et al.}, Phys. Rev. Lett. {\bf 133}, 081401 (2024)] that there exists a correspondence between the critical threshold of black-hole formation and the stability properties of null circular…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Shahar Hod

In special relativity, clock networks may be self-consistently synchronized in an inertial frame by slowly transporting clocks, or by exchanging electromagnetic signals between network nodes. However, clocks at rest in a rotating coordinate…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Neil Ashby

The effects of spin independent hybridization potential and spin orbit coupling on two band superconductor with equal time s-wave inter band pairing order parameter is investigated theoretically. To study symmetry classes in two band…

Superconductivity · Physics 2020-12-08 Moloud Tamadonpour , Heshmatollah Yavari

We consider test particle motion in a gravitational field generated by a homogeneous circular ring placed in $n$-dimensional Euclidean space. We observe that there exist no stable stationary orbits in $n=6, 7, \ldots, 10$ but exist in $n=3,…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Takahisa Igata

Merging compact black-hole (BH) binaries are likely to exist in the nuclear star clusters around supermassive BHs (SMBHs), such as Sgr A$^\ast$. They may also form in the accretion disks of active galactic nuclei. Such compact binaries can…

High Energy Astrophysical Phenomena · Physics 2022-01-26 Bin Liu , Dong Lai

We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that…

General Relativity and Quantum Cosmology · Physics 2022-11-22 A S. Habibina , H. S. Ramadhan
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