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Spacetime geometry is supposed to be measured by identifying the trajectories of free test particles with geodesics. In practice, this cannot be done because, being described by Quantum Mechanics, particles do not follow trajectories. As a…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Yuri Bonder

In this paper, we examine the physical consequences of a recently introduced black hole solution in bumblebee gravity [1]. The geometry is first presented and then reformulated through suitable coordinate adjustments, which make its global…

General Relativity and Quantum Cosmology · Physics 2026-04-02 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , V. B. Bezerra

The starting point of this work is the principle that all movement of particles and photons must follow geodesics of a 4-dimensional space where time intervals are always a measure on geodesic arc lengths. The last 3 coordinates (alpha =…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

The geodesic method has played a crucial role in understanding the circular orbits generated by compact objects, culminating in the definition of the photon sphere, which was later generalized to a photon surface in arbitrary spacetimes.…

Motivated by quantum gravity effects suggested by string theory, we investigate gravitational configurations sourced by an effective energy density inspired by T-duality. This density naturally introduces a minimal length scale $l_0$ that…

General Relativity and Quantum Cosmology · Physics 2026-03-09 G. Alencar , T. M. Crispim , Diego Sáez-Chillón Gómez , Marcos V. de S. Silva

In this article, we study the circular motion of particles and the well-known Penrose mechanism around a Kerr-Newman-Kasuya black hole spacetime. The inner and outer horizons, as well as ergosurfaces of the said black hole, are briefly…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Saeed Ullah Khan , Jingli Ren

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing

We examine the dynamics of particles around a rotating regular black hole. In particular we focus on the effects of the characteristic length parameter of the spinning black hole on the motion of the particles by solving the equation of…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Brandon Bautista-Olvera , Juan Carlos Degollado , Gabriel German

We investigate the propagation of massless particles and scalar fields in the background of Hayward regular black holes. We compute the absorption and scattering cross sections and compare our numerical results with some analytical…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Marco A. A. de Paula , Luiz C. S. Leite , Luís C. B. Crispino

We give a fully analytical description of radial and angular geodesics for massive particles that travel in the spacetime provided by a (3+1)-dimensional scale-dependent black hole in the cosmological background, for which, the quantum…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Mohsen Fathi

We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in Minkowski, de Sitter or anti-de Sitter universe. Using the continuous form of these metrics we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Jiri Podolsky , Robert Svarc

We study the null and time-like geodesics of the light and the neutral particles respectively in the exterior of Kerr-Newman black holes. The geodesic equations are known to be written as a set of first-order differential equations in Mino…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Chen-Yu Wang , Da-Shin Lee , Chi-Yong Lin

Near a gravitating compact object, massive particles traveling along timelike geodesics are gravitationally deflected similarly to light. In this paper, we study the deflection angles of these particles in the strong deflection limit. This…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

When a small, uncharged, compact object is immersed in an external background spacetime, at zeroth order in its mass it moves as a test particle in the background. At linear order, its own gravitational field alters the geometry around it,…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Adam Pound

In this work, we study time-like and null geodesics in a charged black hole background immersed in perfect fluid dark matter (PFDM). Using the condition for circular geodesics, we evaluate the energy ($E$) and angular momentum ($L$) in…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Anish Das , Anirban Roy Chowdhury , Sunandan Gangopadhyay

Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in static gravitational field. These equations which are obtained…

High Energy Physics - Theory · Physics 2016-08-16 Pierre Gosselin , Alain Bérard , Herve Mohrbach

In this work, a regular black string solution will be presented from the method used by Simpson-Visser to regularize the Schwarzschild solution. As in the Simpson-Visser work, in this new black string solution, it is possible to represent…

General Relativity and Quantum Cosmology · Physics 2022-11-23 A. Lima , G. Alencar , J. Furtado

The present work investigates the general wormhole solution in Einstein gravity with an exponential shape function around an ultrastatic and a finite redshift geometry. The geodesic motion around the wormholes is studied in which the…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Ayanendu Dutta , Dhritimalya Roy , Subenoy Chakraborty

It is shown that the free motion of massive particles moving in static spacetimes are given by the geodesics of an energy-dependent Riemannian metric on the spatial sections analogous to Jacobi's metric in classical dynamics. In the…

General Relativity and Quantum Cosmology · Physics 2016-01-13 G. W. Gibbons

We study the geodesic motion of massive and massless test particles in the background of equally spinning Myers-Perry-anti-de Sitter (AdS) black holes in five dimensions. By adopting a coordinate system that makes manifest the…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Térence Delsate , Jorge V. Rocha , Raphael Santarelli
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