A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole

Abstract

This study is purposed to derive the equation of motion for geodesics in vicinity of spacetime of a (2 + 1)-dimensional charged BTZ black hole. In this paper, we solve geodesics for both massive and massless particles in terms of Weierstrass elliptic and Kleinian sigma hyper-elliptic functions. Then we determine different trajectories of motion for particles in terms of conserved energy and angular momentum and also using effective potential.

arXiv comment18 pages, 14 figures,Accepted for publication in Physical Review D

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• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Geodesic equations in the static and rotating dilaton black holes: Analytical solutions and applications
• Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity
• The emergence of universal relations in the AdS black holes thermodynamics
• Study of the geodesic equations of a spherical symmetric spacetime in conformal gravity
• Analytic solutions of the geodesic equation for Reissner-Nordström-(anti-)de Sitter black holes surrounded by different kinds of regular and exotic matter fields
• Analytic treatment of complete geodesics in a static cylindrically symmetric conformal spacetime
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Investigation the geodesic motion of three dimensional rotating black holes
• Scalar field instabilities in charged BTZ black holes
• Particle Dynamics Around the Black String
• Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory
• Astrophysical and electromagnetic emissivity properties of black holes surrounded by a quintessence type exotic fluid in the Scalar-Vector-Tensor Modified Gravity
• Quasinormal modes of charged BTZ black holes
• Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua
• Geodesic Motion in the Spacetime Of a SU(2)-Colored (A)dS Black Hole in Conformal Gravity
• Lower dimensional black holes in nonlinear electrodynamics: causal structure and scalar perturbations
• Geodesics and Bending of Light around a BTZ Black Hole Surrounded by Quintessential Matter
• Self-interacting scalar field in (2+1) dimensions Einstein gravity with torsion
• Stability analysis of circular orbits around a charged BTZ black hole spacetime in a nonlinear electrodynamics model via Lyapunov exponents