A metric of Yukawa potential as an exact solution to the field equations of general relativity

Abstract

It is shown that, by defining a suitable energy momentum tensor, the field equations of general relativity admit a line element of Yukawa potential as an exact solution. It is also shown that matter that produces strong force may be negative, in which case there would be no Schwarzschild-like singularity

Comments: Latex 4 pages (some changes in notation, and a discussion on a repulsive term that may be related to the charge of a particle)