Spherically symmetric metric in the gravitational field and its physical consequences

Abstract

We derive the Schwarzschild metric by considering the Killing symmetry of the gravitational field. Some physical results of this field are reviewed and the non-linearity of the gravitational field is shown from the special relativistic mass-energy relation. In other words, the self-interaction with its own field is shown. Some discussions on the choice of a proper reference system to describe physics are given and the problem on the gravitational repulsion is summerized.