Study of the geodesic equations of a spherical symmetric spacetime in conformal Weyl gravity
Bahareh HoseiniDepartment of Physics, University of Guilan, 41335-1914, Rasht, IranReza SaffariDepartment of Physics, University of Guilan, 41335-1914, Rasht, IranSaheb SoroushfarDepartment of Mining and Technology, Yasouj University, 75761, Choram, Iran
2017en
ABI
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 {\sigma} 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.
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Cited by 40 references