Reduction of the geometrical mass of the Reissner-Nordstrom spacetime

摘要

We derive the Teixeira, Wolk and Som method,(1) for obtaining electrostatic solutions from some given vacuum solutions, in its inverse form. Then We use it to obtain the geometrical mass M-S in the Schwarzschild spacetime, and we find M-S(2) = M-2 - Q(2), S where M and Q are, respectively, the mass and charge parameters of the Reissner-Nordstrom spacetime. We compare M-S to the corresponding active gravitational mass and mass function. [References: 37]