Exact Solution to Geodesic Motion Equation in the Braneworld Black Hole Spacetime and the Perihelion Precession of Mercury

摘要

The exact solution to geodesic equation in the braneworld black hole spacetime is found by method of Jacobian elliptic function, and the angle of perihelion precession is obtained by the zero point of Jacobian elliptic function for Mercury. Comparing numerical result with observation data, we give the value range of tidal charge.