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General-relativistic models of self-gravitating tori around black holes are constructed with a self-consistent-field method in compactified coordinates. The numerical code is highly accurate and robust, allowing for the construction of…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Nikolaos Stergioulas

Our Galaxy's bar makes the Galaxy's potential distinctly non-axisymmetric. All orbits are affected by non-axisymmetry, and significant numbers are qualitatively changed by being trapped at a resonance with the bar. Orbital tori are used to…

Astrophysics of Galaxies · Physics 2017-12-27 James Binney

In the analysis of a binary black hole coalescence, it is necessary to include gravitational self-interactions in order to describe the transition of the gravitational wave signal from the merger to the ringdown stage. In this paper we…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Macarena Lagos , Lam Hui

The main theme of this paper is a relative version of the almost existence theorem for periodic orbits of autonomous Hamiltonian systems. We show that almost all low levels of a function on a geometrically bounded symplectically aspherical…

Differential Geometry · Mathematics 2007-05-23 Viktor L. Ginzburg , Basak Z. Gurel

We improve and extend Shapiro's model of a relativistic, compact object which is stable in isolation but is driven dynamically unstable by the tidal field of a binary companion. Our compact object consists of a dense swarm of test particles…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Matthew D. Duez , Eric T. Engelhard , John M. Fregeau , Kevin M. Huffenberger , Stuart L. Shapiro

Black hole (BH)--torus systems are promising candidates for the central engine of gamma-ray bursts (GRBs), and also possible outcomes of the collapse of supermassive stars to supermassive black holes (SMBHs). By three-dimensional general…

High Energy Astrophysical Phenomena · Physics 2011-07-28 Kenta Kiuchi , Masaru Shibata , Pedro J. Montero , José A. Font

In this study, we investigate the accretion dynamics and test particle motion around a non-rotating, spherically symmetric Lee-Wick black hole (BH) to reveal how the model parameters affect orbital stability and the quasi-periodic…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Orhan Donmez , G. Mustafa , M. Yousaf , Faisal Javed , Ikhtiyor Saidov , Farruh Atamurotov

Trajectories of charged particle in combined poloidal, toroidal magnetic field and rotation-induced unipolar electric field superposed in Schwarzschild background geometry have been investigated extensively in the context of accreting black…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sujan Sengupta

We perform a global linear perturbative analysis, and investigate the oscillation properties of relativistic, non-selfgravitating tori orbiting around neutron stars in the slow rotation limit approximation. Extending the work done in…

Solar and Stellar Astrophysics · Physics 2015-05-28 Pedro J. Montero , Olindo Zanotti

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

Consider a sufficiently smooth nearly integrable Hamiltonian system of two and a half degrees of freedom in action-angle coordinates \[ H_\epsilon (\varphi,I,t)=H_0(I)+\epsilon H_1(\varphi,I,t), \varphi\in T^2,\ I\in U\subset R^2,\ t\in…

Dynamical Systems · Mathematics 2014-12-23 Marcel Guardia , Vadim Kaloshin

The dynamic toroidal dipole is a unique radiation source beyond standard multipoles. Since its first demonstration 15 years ago, it has attracted growing theoretical and experimental interest. Research mainly aims to enhance its weak…

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

We study gravitational perturbations of slowly-rotating black holes in a general effective-field-theory extension of general relativity that includes up to eight-derivative terms. We show that two Schr\"odinger-like equations with…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut

Observations from the Rossi X-Ray Timing Explorer have shown the existence of high frequency quasi-periodic oscillations (HFQPOs) in the X-ray flux from accreting black hole binary systems. In at least two systems, these HFQPOs come in…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman , Edmund Bertschinger

We study the dynamics of a binary orbiting a supermassive black hole (SMBH), focusing on both binary scattering in unbound orbits and eccentric von Zeipel-Lidov-Kozai (vZLK) oscillations in bound orbits. The motion is described in a local…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Kei-ichi Maeda , Hirotada Okawa

Tidal coupling between members of a compact binary system can have an interesting and important influence on that binary's dynamical inspiral. Tidal coupling also distorts the binary's members, changing them (at lowest order) from spheres…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Stephen O'Sullivan , Scott A. Hughes

We investigate the orbital eccentricity evolution of supermassive black hole binaries within galactic environments. We analyze the dynamics in triaxial merger remnants and subsequent interactions with geometrically thick nuclear discs. We…

Black holes (BHs) and wormholes (WHs) are characterized by distinct spacetime geometries, whose differences become pronounced close to the central objects. A useful way to probe such differences is via the dynamics of stellar tidal…

High Energy Astrophysical Phenomena · Physics 2026-03-30 Pritam Banerjee , Kowsona Chakraborty , Niles Mondal , Tapobrata Sarkar

X-ray quasi-periodic oscillations (QPOs) are a characteristic feature of low-mass X-ray binaries (LMXBs). These oscillations have been studied for decades and revealed a rich and complex phenomenology that is still not fully understood.…

High Energy Astrophysical Phenomena · Physics 2026-05-28 F. M. Vincentelli , N. Bollemeijer , A. Veledina , D. Altamirano , Q. Bu , F. Carotenuto , P. Casella , Y. Cavecchi , R. Ma , G. Marcel , G. Mastroserio , S. Motta , L. Zhang