Geodesic equations in the static and rotating dilaton black holes: Analytical solutions and applications

Abstract

In this paper, we consider the timelike and null geodesics around the static [GMGHS (Gibbons, Maeda, Garfinkle, Horowitz and Strominger), magnetically charged GMGHS, electrically charged GMGHS] and the rotating (Kerr-Sen dilaton-axion) dilaton black holes. The geodesic equations are solved in terms of Weierstrass elliptic functions. To classify the trajectories around the black holes, we use the analytical solution and effective potential techniques and then characterize the different types of the resulting orbits in terms of the conserved energy and angular momentum. Also, using the obtained results we study astrophysical applications.

29 figures, 4 tables, 35 pages

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Cited by in corpus (23)

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• Null Geodesics and Observables around Kerr-Sen Black Hole
• Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity
• Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence
• Study of the geodesic equations of a spherical symmetric spacetime in conformal gravity
• Dynamic phase transition of charged dilaton black holes
• 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
• Motion of magnetically charged particles in a magnetically charged stringy black hole spacetime
• Circular geodesics in the field of double-charged dilatonic black holes
• Motion and collision of particles in rotating linear dilaton black hole
• Particle Dynamics Around the Black String
• Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope
• Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory
• Light bending, static dark energy and related uniqueness of Schwarzschild-de Sitter spacetime
• Astrophysical and electromagnetic emissivity properties of black holes surrounded by a quintessence type exotic fluid in the Scalar-Vector-Tensor Modified Gravity
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Analytical time-like geodesics in modified Hayward black hole space-time
• Geodesic Motion in the Spacetime Of a SU(2)-Colored (A)dS Black Hole in Conformal Gravity
• Types of the geodesic motions in Kerr-Sen-AdS${}_4$ spacetime