Gravitational Field of a Particle

Abstract

THE usual exterior Schwarzschild line element shows an obvious singularity for a certain value of r, say r = a. Since a is in every known case much smaller than the radius of the spherical body producing the field, the existence of the singularity appears to be of little interest to astronomers. At the other end of the scale, a discussion of the gravitational field of an ultimate particle, without reference to electromagnetism or quantum theory, might appear equally devoid of physical meaning.