Effective mass of a radiating charged particle in Einstein's universe

TL;DR

This paper calculates the effective gravitational mass, energy, and momentum distributions of a radiating charged particle within Einstein's universe using Moller’s energy-momentum complex, extending previous models to a cosmological background.

Contribution

It generalizes the Bonnor and Vaidya spacetime to a cosmological setting, providing new insights into mass and energy distributions in Einstein's universe, and confirms consistency with known results in special cases.

Findings

Derived the effective gravitational mass in Einstein's universe.

Confirmed results match known cases like Reissner-Nordstrom black hole.

Calculated the power output of the radiating charged particle.

Abstract

The effective gravitational mass as well as the energy and momentum distributions of a radiating charged particle in Einstein's universe are evaluated. The Moller's energy-momentum complex is employed for this computation. The spacetime under study is a generalization of Bonnor and Vaidya spacetime in the sense that the metric is described in the cosmological background of Einstein's universe in lieu of the flat background. Several spacetimes are limiting cases of the one considered here. Particularly for the Reissner-Nordstrom black hole background, our results are exactly the same with those derived by Cohen and Gautreau using Whittaker's theorem and by Cohen and de Felice using Komar's mass. Furthermore, the power output for the spacetime under consideration is obtained.