abstract:In Einstein's theory of general relativity, the Schwarzschild solution (or the Schwarzschild vacuum), named after Karl Schwarzschild, describes the gravitational field outside a spherical, uncharged, non-rotating mass such as a (non-rotating) star, planet, or black hole. It is also a good approximation to the gravitational field of a slowly rotating body like the Earth or Sun.
This paper derivesindetail the gravitational field of thesun by using the Schwarzschild metric, and expounds the advance of the Mercury'sperihelion with the general theory of relativity.