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Geodesic equations of the vacuum C-metric are derived and solved for various cases. The solutions describe the motion of timelike or null particles with conserved energy and angular momentum. Polar, nearly-circular orbits around weakly…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Yen-Kheng Lim

In this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach…

General Relativity and Quantum Cosmology · Physics 2015-07-21 Cristina Blaga

In this study, we investigate the geodesic motion of a test particle around the Schwarzchild black hole in a $\kappa$-deformed space-time. We compute a modified Lagrangian to obtain the $\kappa$-deformed effective potential and find the…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Dilip Kumar , Suman Kumar Panja , Abhisek Saha , Soma Sanyal

In this paper we have discussed geodesics and the motion of test particle in the gravitational field of noncommutative charged black hole spacetime. The motion of massive and massless particle have been discussed seperately. A comparative…

General Relativity and Quantum Cosmology · Physics 2015-07-14 Piyali Bhar , Farook Rahaman , Ritabrata Biswas , U. F. Mondal

In this work we review the classification of geodesics of massive test particles in the gravitational background of the black hole solutions of Einstein-Born-Infeld spacetime. Even though some features are quite similar to those of…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Román Linares , Marco Maceda , Daniel Martínez-Carbajal

The exact solution of Einstein - Maxwell equations for a Schwarzschild black hole immersed in the static spatially homogeneous AdS${}^2\times\mathbb{S}^2$ space-time of Bertotti-Robinson magnetic universe is presented. In this solution, the…

General Relativity and Quantum Cosmology · Physics 2015-12-22 George A. Alekseev

We study geodesics in the Schwarzschild space-time affected by an uncertainty in the mass parameter described by a Gaussian distribution. This study could serve as a first attempt at investigating possible quantum effects of black hole…

General Relativity and Quantum Cosmology · Physics 2019-07-24 R. Casadio , A. Giusti , A. Mentrelli

In this paper, we have investigated the geodesics of neutral particles near a five-dimensional charged black hole using a comparative approach. The effective potential method is used to determine the location of the horizons and to study…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Sarbari Guha , Pinaki Bhattacharya , Subenoy Chakraborty

We study the geodesic equation in the space-time of a Kerr black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of this equation for massive and massless particles in terms of Mino time…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

The explicit form of perturbation equation for the $\Psi_4$ Weyl scalar, containing the matter source terms, is derived for general type D spacetimes. It is described in detail the particular case of the Schwarzschild spacetime using…

General Relativity and Quantum Cosmology · Physics 2011-02-19 Juan Carlos Degollado , Dario Nunez , Carlos Palenzuela

The deviation of the path of a spinning particle from a circular geodesic in the Schwarzschild spacetime is studied by an extension of the idea of geodesic deviation. Within the Mathisson-Papapetrou-Dixon model and assuming the spin…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen

The physics associated with spherically symmetric charged black holes is analyzed from the point of view of using weak gravitational lensing as a means for determining the dimensionality of spacetime. In particular, for exact solutions of…

General Relativity and Quantum Cosmology · Physics 2008-01-28 Jop Briet , David Hobill

We use the Hamiltonian formulation of the geodesic equation in the Schwarzschild space-time so as to get the variational equation as the counterpart of the Jacobi equation in this approach. In this context we are able to apply the…

General Relativity and Quantum Cosmology · Physics 2023-08-15 Juan J. Morales-Ruiz , Álvaro P. Raposo

We consider the motion of test particles in the spacetime of a black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole are presented. The geodesic equations are solved…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus Lämmerzahl

I calculate the self-force acting on a particle with electric charge q moving on a generic geodesic around a Schwarzschild black hole. Using methods similar to those developed for the scalar field case discussed in a previous paper, I…

General Relativity and Quantum Cosmology · Physics 2011-12-19 Roland Haas

The Bardeen model describes a regular space-time, i.e. a singularity-free black hole space-time. In this paper, by analyzing the behavior of the effective potential for the particles and photons, we investigate the time-like and null…

General Relativity and Quantum Cosmology · Physics 2012-12-11 Sheng Zhou , Juhua Chen , Yongjiu Wang

Tidal forces produced by black holes are an important result of General Relativity, related to the spacetime curvature tensor. Among the astrophysical implications of tidal forces, stands out tidal disruption events. We analyze the tidal…

General Relativity and Quantum Cosmology · Physics 2020-05-28 Haroldo C. D. Lima Junior , Luís C. B. Crispino

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

We study the geodesic structure of the Korkina-Grigoryev spacetime. The corresponding metric is a generalization of the Schwarzschild geometry to the case involving a massless scalar field. We investigate the relation between the angular…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Irina Bormotova , Elena Kopteva

We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The…

High Energy Physics - Theory · Physics 2015-10-13 Ignacio J. Araya , Itzhak Bars , Albin James