Study of the geodesic equations of a spherical symmetric spacetime in conformal gravity

Abstract

Set of analytic solutions of the geodesic equation in a spherical conformal spacetime is presented. Solutions of this geodesics can be expressed in terms of the Weierstrass {\wp} function and the Kleinian σ function. Using conserved energy and angular momentum we can characterize the different orbits. Also, considering parametric diagrams and effective potentials, we plot some possible orbits. Moreover, with the help of analytical solutions, we investigate the light deflection for such an escape orbit.

23 pages,1 table,23 figures

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• Investigation the geodesic motion of three dimensional rotating black holes
• Orbits of particles with magnetic dipole moment around magnetized Schwarzschild black holes: Applications to S2 star orbit
• Thermodynamic geometry of static and rotating regular black holes in conformal massive gravity
• 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
• Critique of the use of geodesics in astrophysics and cosmology
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Geodesic Motion in the Spacetime Of a SU(2)-Colored (A)dS Black Hole in Conformal Gravity
• Null geodesics around a black hole with weakly coupled global monopole charge
• Types of the geodesic motions in Kerr-Sen-AdS${}_4$ spacetime