Reduction of the effective mass of the Reissner-Nordstrom spacetime

Details Reduction of the effective mass of the Reissner-Nordstrom spacetime Reduction of the effective mass of the Reissner-Nordstrom spacetime

2002-03-04

arxiv.org/abs/gr-qc/0203011v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0218271802002311

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-Nordstr\"om spacetime. We compare $M_S$ to the corresponding active gravitational mass and mass function.

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