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We study the spacetime noncommutative effect on black hole as particle accelerators and, find that particle falling from infinity with zero velocity cannot collide with unbound energy when the noncommutative Kerr black hole is exactly…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Chikun Ding , Changqing Liu , Qian Guo

We derive here the orbit equations of particles in naked singularity spacetimes, namely the Bertrand (BST) and Janis-Newman-Winicour (JNW) geometries, and for the Schwarzschild black hole. We plot the orbit equations and find the Perihelion…

General Relativity and Quantum Cosmology · Physics 2019-09-23 Ashok B. Joshi , Parth Bambhaniya , Dipanjan Dey , Pankaj S. Joshi

Noncommutative geometry may be a starting point to a quantum gravity. We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Schwarzschild black-hole spacetime and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chikun Ding , Shuai Kang , Chang-Yong Chen , Songbai Chen , Jiliang Jing

We investigate the stable circular orbits of the spinning test particles around the accelerating Kerr black hole on the equatorial plane. To this end, we first calculate the equations of motion and analyze the parameter space for the…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Ming Zhang , Jie Jiang

In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in {Friedmann-Robertson-Walker (FRW)} cosmology, where this "noncommutativity" provides a…

General Relativity and Quantum Cosmology · Physics 2017-04-05 A. Crespo-Hernandez , E. Mena , M. Sabido

Recent studies suggest that the cosmological constant affects the gravitational bending of photons although the orbital equation for light in Schwarzschild-de Sitter space time is free from cosmological constant. Here we argued that the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Arunava Bhadra , Swarnadeep Biswas , Kabita Sarkar

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordstr\"om geometry. Due to the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Banibrata Mukhopadhyay

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The…

High Energy Physics - Theory · Physics 2009-04-17 Ding Wang , R. B. Zhang , Xiao Zhang

The motion of a particle with a spin in spherical harmonic oscillator potential with spin-orbit interaction is studied. We have focus our attention on spatial motion of wave packets, giving a description complementary to motion of spin…

Quantum Physics · Physics 2009-10-28 P. Rozmej , R. Arvieu

We consider the motion of a particle in a uniform field in noncommutative space which is rotationally invariant. On the basis of exact calculations it is shown that there is an effect of coordinate noncommutativity on the mass of a…

Quantum Physics · Physics 2016-02-15 Kh. P. Gnatenko , V. M. Tkachuk

In this article, we investigate the gravitational field of a charged, non-vacuum, non-rotating, spherically symmetric body of mass $M$ assuming a static solution to the Einstein-Maxwell field equations. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Divyesh P. Viththani , Ashok B. Joshi , Tapobroto Bhanja , Pankaj S. Joshi

This paper investigates the trajectories of neutral particles in the Schwarzschild-Melvin spacetime. After reduction by cyclic coordinates this problem reduces to investigating a two-degree-of-freedom Hamiltonian system that has no…

Dynamical Systems · Mathematics 2024-11-22 Ivan Bizyaev

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

We study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

In this paper, we investigate the motion of spinning particles around a covariant quantum-corrected black hole without a Cauchy horizon within the framework of effective quantum gravity, and examine the influence of quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Jiawei Chen , Jinsong Yang

We discuss neutrino oscillations in curved spacetime. Our heuristic approach can accomodate matter effects and gravitational contributions to neutrino spin precession in the presence of a magnetic field. By way of illustration, we perform…

High Energy Physics - Phenomenology · Physics 2009-10-30 Christian Y. Cardall , George M. Fuller

A way to test electromagnetic field and spacetime properties around black holes is by considering the dynamics of test particles. In fact, in real astrophysical scenarios, it is hard to determine spacetime geometry which is dominating due…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Farrux Abdulxamidov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Zdeněk Stuchlík

In this work, we explore general relativistic effects and geometric properties of the Fan-Wang spacetime, one of the simplest regular solutions that can be obtained in nonlinear electrodynamics. In particular, we investigate the motion of…

This work aims to implement the idea of noncommutativity in the subject of black holes. Its principal contents deal with a study of Schwarzschild black holes in a D-dimensional noncommutative space. Various aspects related to the non…

High Energy Physics - Theory · Physics 2012-01-13 M. Chabab , H. El Moumni , M. B. Sedra