Singularity transition in a Yukawa-Reissner-Nordstr\"om spacetime

Abstract

A screened charge by a Yukawa potential implies that the corresponding electric field is assimptotically zero far away from a small radius scaling. Considering a screened charge, we have a modified metric of type Yukawa-Reissner-Nordstr\"om spacetime, that assimptotically decays from a Reissner-Nordstr\"om spacetime to a Schwarzschild spacetime. This implies that the singularity is screened by distance reducing from two singularities to one single singularity for a suitable distance. We consider the tetrad fields associated to the Yukawa-Reissner-Nordstr\"om spacetime and show that a linear motion in the proper time lead to suitable estimatives to the Yukawa screening parameter associated to a Schwarzschild radius.