Rest Mass and Gravitational Mass

Abstract

Recently, a formulation of the quantum equivalence principle (QEP) appeared in terms of the equality of rest, inertial, and gravitational masses, which is valid for non-relativistic particles in a weak gravitational field. In this work, we employ a fully general relativistic Schwarzschild metric assuming unequal rest and gravitational masses. Thereafter, we derive a relation between the rest mass and the gravitational mass of a particle. It is shown that in the absence of gravity, the gravitational mass becomes the relativistic mass.