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We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

We derive a general formula for the center-of-mass (CM) energy for the near-horizon collision of two particles of the same rest mass on the equatorial plane around a Kerr black hole. We then apply this formula to a particle which plunges…

General Relativity and Quantum Cosmology · Physics 2011-10-21 Tomohiro Harada , Masashi Kimura

Black hole solutions in general relativity come with pathologies such as singularity and mass inflation instability, which are believed to be cured by a yet-to-be-found quantum theory of gravity. Without such consistent description, one may…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Rajes Ghosh , Mostafizur Rahman , Akash K Mishra

We report a factor of $\sim$3 improvement in Keck Laser Guide Star Adaptive Optics (LGSAO) astrometric measurements of stars near the Galaxy's supermassive black hole (SMBH). By carrying out a systematic study of M92, we have produced a…

Astrophysics of Galaxies · Physics 2010-02-10 Sylvana Yelda , Andrea M. Ghez , Jessica R. Lu , Tuan Do , Will Clarkson , Keith Matthews

In this paper, we derived the complete set of time-dependent geodesic equations for an LTB black hole surrounded by a Quintom field and investigated the evolution of effective potential and photon orbits across cosmic epochs. Our findings…

General Relativity and Quantum Cosmology · Physics 2025-02-21 Sareh Eslamzadeh , Saheb Soroushfar

In this article, we investigate the orbital dynamics and quasi-periodic oscillations (QPOs) surrounding a static, spherically symmetric geometry of an Einstein-nonlinear Maxwell-Yukawa (ENMY) black hole (BH). Using the Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Tehreem Zahra , Oreeda Shabbir , Bushra Majeed , Mubasher Jamil , Javlon Rayimbaev , Abubakir Shermatov

The collapse of a uniformaly rotating, supermassive star (SMS) to a supermassive black hole (SMBH) has been followed recently by means of hydrodynamic simulations in full general relativity. The initial SMS of arbitrary mass M in these…

Astrophysics · Physics 2009-11-07 Stuart L. Shapiro , Masaru Shibata

We study stable circular orbits in spherically symmetric AdS black holes in various dimensions and their limiting innermost stable circular orbits (ISCOs). We provide analytic expressions for their size, angular velocity and angular…

High Energy Physics - Theory · Physics 2021-02-03 David Berenstein , Ziyi Li , Joan Simon

We have performed a detailed analysis of orbital motion in the vicinity of a nearly extremal Kerr black hole. For very rapidly rotating black holes (spin a=J/M>0.9524M) we have found a class of very strong field eccentric orbits whose…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrico Barausse , Scott A. Hughes , Luciano Rezzolla

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

The halo orbits of the spatial circular restricted three-body problem are largely considered in space-flight dynamics to design low-energy transfers between celestial bodies. A very efficient analytical method for the computation of halo…

Earth and Planetary Astrophysics · Physics 2022-08-17 Rocio Isabel Paez , Massimiliano Guzzo

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

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\mu(\ll M)$, it experiences a gravitational…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Leor Barack , Norichika Sago

Black hole (BH) solutions endowed with nontrivial scalar or matter fields - commonly known as hairy black holes - have attracted significant interest in recent years. They admit extra parameters beyond mass, charge, and angular momentum,…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anirban Dasgupta , Supragyan Priyadarshinee , Indrani Banerjee , Subhash Mahapatra

We study the spin and eccentricity evolution of black-hole (BH) binaries that are perturbed by tertiary masses and experience the Lidov-Kozai (LK) excitation. We focus on three aspects. Firstly, we study the spin-orbit alignment of the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Hang Yu , Sizheng Ma , Matthew Giesler , Yanbei Chen

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

The construction of equilibrium models of accretion disks around compact objects has become a highly relevant topic in the recent times, thanks to the current understanding that indicates a direct relationship between these objects with the…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Sergio Gimeno-Soler , Sayantani Lahiri , Claus Lämmerzahl

The last evolutionary stages of massive black hole binaries prior to coalescence is dominated by the emission of gravitational waves, which will be probed by the future Laser Interferometer Space Antenna. If gas is present around the two…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Giacomo Fedrigo , Alessandro Lupi , Alessia Franchini , Matteo Bonetti

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook
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