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The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Shahar Hod

We investigate analytically and numerically the orbits of spinning particles around black holes in the post Newtonian limit and in the presence of cosmic expansion. We show that orbits that are circular in the absence of spin, get deformed…

General Relativity and Quantum Cosmology · Physics 2019-05-22 I. Antoniou , D. Papadopoulos , L. Perivolaropoulos

In this paper, we investigate the motion of spinning particles in the background of covariant loop quantum gravity black holes, focusing on two distinct effective metric solutions. Both metrics incorporate a quantum parameter $\zeta$, which…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Yongbin Du , Yunlong Liu , Xiangdong Zhang

In this article we analyze the behavior of a non-relativistic spinless particle near the event horizon of a Schwarzschild-like black hole. In this way, the Schr\"odinger covariant equation that describes the particle is obtained from the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Ronni Amorim , Vinicius Rispoli , Sérgio Ulhoa , Kayo Araújo

In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the non-commutative parameter $\Theta$. Additionally, we obtain the corresponding deformed effective…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Mohamed Aimen Larbi , Slimane Zaim , Abdellah Touati

In this paper, we investigate the deflection of a charged particle moving in the equatorial plane of Kerr-Newman spacetime, focusing on weak field limit. To this end, we use the Jacobi geometry, which can be described in three equivalent…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Zonghai Li , Junji Jia

It has been established in Schwarzschild spacetime (and more generally in Kerr spacetime) that pairs of geometrically different timelike geodesics with the same radial and azimuthal frequencies exist in the strong field regime. The…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Daniela Kunst , Volker Perlick , Claus Lämmerzahl

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We revisit the motion of massless particles with anyonic spin in the horizon of Kerr--Newman geometry. As recently shown, such particles can move within the horizon of the black hole due to the coupling of charges associated with a…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Finnian Gray , David Kubiznak , T. Rick Perche , Jaime Redondo-Yuste

We consider the evolution of the orbit of a spinning compact object in a quasi-circular, planar orbit around a Schwarzschild black hole in the extreme mass ratio limit. We compare the contributions to the orbital evolution of both…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko

In this work, we obtain an expression for the total observational frequency shift of photons emitted by massive geodesic particles circularly orbiting a black hole in a general spherically symmetric background. Our general relations are…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Diego A. Martinez-Valera , Mehrab Momennia , Alfredo Herrera-Aguilar

We study null and timelike constant radii geodesics in the environment of an over-spinning putative Kerr-type naked singularity. We are particularly interested in two topics: first, the differences of the shadows of the naked rotating…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Aydin Tavlayan , Bayram Tekin

Nowadays, the effect of infinite energy in the centre of mass frame due to near-horizon collisions attracts much attention.We show generality of the effect combining two seemingly completely different approaches based on properties of a…

General Relativity and Quantum Cosmology · Physics 2015-05-28 O. B. Zaslavskii

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

Gravitational waves emitted from a generic binary black-hole merger carry away linear momentum anisotropically, resulting in a gravitational recoil, or "kick", of the center of mass. For certain merger configurations the time evolution of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Alessandro Nagar , Enno Harms , Sebastiano Bernuzzi , Anıl Zenginoğlu

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the particle is endowed with a small mass,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

It has recently been proved numerically that spinning black holes in Einstein-scalar theories which are characterized by a non-minimal negative coupling of the scalar field to the Gauss-Bonnet invariant of the curved spacetime may develop…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Shahar Hod

In the present work, our main objective is to investigate the orbits of spinning test particles around a Schwarzschild black hole under the influence of a quintessence matter field (SQBH). We begin with the dynamics of the spinning test…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Shobhit Giri , Pankaj Sheoran , Hemwati Nandan , Sanjar Shaymatov

In this paper, we have investigated the dynamics of magnetized particles around 4-D Einstein-Gauss-Bonnet black hole immersed in an external asymptotically uniform magnetic field. We have shown that the magnetic interaction parameter…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Javlon Rayimbaev , Ahmadjon Abdujabbarov , Bobur Turimov , Farruh Atamurotov