Reduction of the effective mass of the Reissner-Nordstrom spacetime

Abstract

We derive the Teixeira, Wolk and Som method, for obtaining electrostatic solutions from 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 $M_S^2=M^2-Q^2$, where $M$ and $Q$ are, respectively, the mass and charge parameters of the Reissner-Nordström spacetime. We compare $M_S$ to the corresponding active gravitational mass and mass function.

accepted in Int.J.Mod.Phys. D some changes have been performed and the bibliography had been enlarged

References in corpus (1)

• Levi-Civita Solutions Coupled with Electromagnetic Fields

Cited by in corpus (4)

• Geodesics of the hyperbolically symmetric black hole
• Neutral perfect fluids and charged thin shells with electromagnetic mass in general relativity
• A general relativistic effect in quasi-spherical objects as the possible origin of relativistic jets
• Active gravitational mass and the invariant characterization of Reissner-Nordstrom spacetime