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The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in…

High Energy Physics - Theory · Physics 2009-10-22 S. N. Solodukhin

A pair of wave equations is presented for the gravitational and electromagnetic perturbations of a charged black hole. One of the equations is uncoupled and determines the propagation of the electromagnetic perturbation. The other is for…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Zoltán Perjés

A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In this framework, the geodesic velocity field is an independent…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Kaushlendra Kumar , Shahn Majid

We present the details of a model in general relativity of a small charged black hole moving in an external gravitational and electromagnetic field. The importance of our model lies in the fact that we can derive the equations of motion of…

General Relativity and Quantum Cosmology · Physics 2008-12-18 T. Futamase , P. A. Hogan , Y. Itoh

A non-extreme dilatonic charged (by two ``color electric'' charges) black hole solution is examined within a four-dimensional gravity model that incorporates two scalar (dilaton) fields and two Abelian vector fields. The scalar and vector…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Kuantay Boshkayev , Gulnara Suliyeva , Vladimir Ivashchuk , Ainur Urazalina

We study the collision between a BTZ black hole and a test particle coupled to a scalar field. We compute the power spectrum, the energy radiated and the plunging waveforms for this process. We show that for late times the signal is…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

The behavior of the timelike and null geodesics of charged E. Ay$\acute{o}$n-Beato and A. Garcia (ABG) black hole are investigated. For circular and radial geodesics, we investigate all the possible motions by plotting the effective…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Mehedi Kalam , Nur Farhad , Sk. Monowar Hossein

The motion of charged test-particles in the gravitational field of a rotating and electromagnetically charged black hole as described by the Kerr-Newman metric is considered. We completely classify the colatitudinal and radial motion on the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Eva Hackmann , Hongxiao Xu

In this paper we have studied particle collisions around a charged dilaton black hole in 2+1 dimensions. This black hole is a solution to the low energy string action in 2+1 dimensions. Time-like geodesics for charged particles are studied…

General Relativity and Quantum Cosmology · Physics 2017-05-16 Sharmanthie Fernando

We present a class of charged black hole solutions in an ($n+2)$-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble…

High Energy Physics - Theory · Physics 2015-01-27 Rong-Gen Cai , Ya-Peng Hu , Qi-Yuan Pan , Yun-Long Zhang

This paper systematically revisits the critical orbits of test particles moving in various black hole backgrounds, including the Schwarzschild, Reissner-Nordstr\"{o}m, Kerr, and Kerr-Newman spacetimes. We identify the critical orbit cases…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ping Li , Jun Cheng , Jiang-he Yang

Geodesics for a 5D magnetized Schwarzschild-like solution are analyzed by reducing the problem to the motion of a test particle in an effective potential. In absence of magnetic field comparison is established with Schwarzschild's geometry.…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Tonatiuh Matos , Nora Breton

We provide a discussion on a light ray in a charged black hole solution in massive gravity. To serve the purpose, we exploit the optical geometry of the black hole solution and find the Gaussian curvature in weak gravitational lensing.…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Sudhaker Upadhyay , Surajit Mandal , Yerlan Myrzakulov , Kairat Myrzakulov

Einsteinian cubic gravity (ECG) is the most general theory up to cubic order in curvature, which have the same graviton spectrum as the Einstein theory. In this paper, we investigate the geodesic motions of timelike particles around the…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Yong-Zhuang Li , Xiao-Mei Kuang

We study the stability of the BTZ black hole in the new massive gravity. This is a nontrivial task because the linearized equation around the BTZ black hole background is a fourth order differential equation. Away from the critical point of…

High Energy Physics - Theory · Physics 2011-08-12 Yun Soo Myung , Yong-Wan Kim , Taeyoon Moon , Young-Jai Park

The equation of motion of test particles in the geometry of a black string embedded in a 5-dimensional AdS spacetime is studied.

High Energy Physics - Theory · Physics 2009-11-07 H. Culetu

Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special…

General Relativity and Quantum Cosmology · Physics 2020-05-27 S. H. Hendi , R. Ramezani-Arani , E. Rahimi

We analyze motion of massless and massive particles around black holes immersed in an asymptotically uniform magnetic field and surrounded by some mechanical structure, which provides the magnetic field. The space-time is described by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. A. Konoplya

This paper presents a systematic study of the chaotic dynamics of charged test particles around purely magnetically charged black holes immersed in a uniform external magnetic field within the framework of Einstein-ModMax theory. By…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zijian Liu , Wenfu Cao