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Recent astrophysical models predict that stellar-mass binary black holes (BBHs) could form and coalesce within a few gravitational radii of a supermassive black hole (SMBH). Detecting the gravitational waves (GWs) from such systems requires…

High Energy Astrophysical Phenomena · Physics 2024-02-06 Zhongfu Zhang , Xian Chen

Multiple potential wells for massive test particles, allowing distinct families of bound orbits to coexist, are a characteristic feature of certain exotic compact objects beyond general relativity. Taking the dyonic black hole as a…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Chao-Hui Wang , Shao-Wen Wei , Tao Zhu , Yu-Xiao Liu

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

The study of off-equatorial orbits in razor-thin disks is still in its beginnings. Contrary to what was presented in the literature in recent publications, the vertical stability criterion for equatorial circular orbits cannot be based on…

Astrophysics of Galaxies · Physics 2015-04-03 Ronaldo S. S. Vieira , Javier Ramos-Caro

This is a review of current theory of black-hole dynamics, concentrating on the framework in terms of trapping horizons. Summaries are given of the history, the classical theory of black holes, the defining ideas of dynamical black holes,…

General Relativity and Quantum Cosmology · Physics 2009-02-28 Sean A. Hayward

In this article, we try to capture the influence of deviation from standard Kerr black hole spacetime on observed high-frequency quasi-periodic oscillations signal. We explore the dynamics of test particles in the field of rotating compact…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Misbah Shahzadi , Martin Kološ , Rabia Saleem , Zdeněk Stuchlík

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

In this work, we investigate the dynamics of periodic orbits and the properties of accretion disks around a Schwarzschild-like black hole (BH) immersed in a King-type dark matter (DM) halo. Our analysis focuses on how the presence of the…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Javokhir Sharipov , Tursunali Xamidov , Qiang Wu , Sanjar Shaymatov , Tao Zhu

We study motion of charged particles in the field of a rotating black hole immersed into an external asymptotically uniform magnetic field, focusing on the epicyclic quasi-circular orbits near the equatorial plane. Separating the circular…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Arman Tursunov , Zdeněk Stuchlík , Martin Kološ

In the coming decade, gravitational waves will convert the study of general relativistic aspects of black holes and stars from a largely theoretical enterprise to a highly interactive, observational/theoretical one. For example,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kip S. Thorne

We explore potential quantum gravity signatures by studying periodic orbits and their GW emissions around a novel regular black hole (BH) featuring a Minkowski core. Using a rational number $q$, periodic orbits are classified, revealing…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Huajie Gong , Sheng Long , Xi-Jing Wang , Zhongwu Xia , Jian-Pin Wu , Qiyuan Pan

The multipole moments of black holes in general relativity obey certain consistency relations known as the no-hair theorems. The details of this multipolar structure are imprinted into the gravitational waves emitted by binary black holes,…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

Gravitational lensing near a black hole is strong enough that light rays can circle the event horizon multiple times. Photons emitted in multiple directions at a single event, perhaps because of localized, impulsive heating of accreting…

High Energy Astrophysical Phenomena · Physics 2021-03-31 George N. Wong

Astrophysical tests of general relativity belong to two categories: 1) "internal", i.e. consistency tests within the theory (for example, tests that astrophysical black holes are indeed described by the Kerr solution and its perturbations),…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Emanuele Berti

Building upon the long-standing paradigm that dynamics near a spacelike singularity are governed by a sequence of Kasner epochs, we demonstrate that this picture is fundamentally altered when higher-curvature or quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Mei-Ning Duan , Li Li , Yu-Xuan Li , Fu-Guo Yang

In this paper we treat the black hole horizon as a physical boundary to the spacetime and study its dynamics following from the Gibbons-Hawking-York boundary term. Using the Kerr black hole as an example we derive an effective action that…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Jianwei Mei

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

Establishing the existence of periodic orbits is one of the crucial and most intricate topics in the study of dynamical systems, and over the years, many methods have been developed to this end. On the other hand, finding closed orbits in…

Dynamical Systems · Mathematics 2022-01-25 Marian Mrozek , Roman Srzednicki , Justin Thorpe , Thomas Wanner

(abbreviated) In this paper we derive equations describing dynamics and stationary configurations of a twisted fully relativistic thin accretion disc around a slowly rotating black hole. We find that the disc dynamics and stationary shapes…

High Energy Astrophysical Phenomena · Physics 2015-05-27 V. Zhuravlev , P. Ivanov

We analyze the properties of the circular orbits for massive particles in the equatorial plane of symmetric rotating Ellis wormholes. In particular, we obtain the orbital frequencies and the radial and vertical epicyclic frequencies, and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Efthimia Deligianni , Burkhard Kleihaus , Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev