Relativistic electromagnetic mass models in spherically symmetric spacetime

TL;DR

This paper investigates electromagnetic mass models within static spherically symmetric Einstein-Maxwell spacetime, generalizing previous solutions and demonstrating their relevance to compact stars and electron structure.

Contribution

It introduces a generalized solution set for electromagnetic mass models by considering different metric potentials, extending prior specific solutions.

Findings

Some previous solutions are special cases of the new generalized solutions.

The solutions are applicable to modeling compact stars.

The solutions help understand the structure of the electron.

Abstract

Under the static spherically symmetric Einstein-Maxwell spacetime of embedding class one we explore possibility of electromagnetic mass model where mass and other physical parameters have purely electromagnetic origin (Tiwari 1984, Gautreau 1985, Gron 1985). This work is in continuation of our earlier investigation (Maurya 2015a) where we developed an algorithm and found out three new solutions of electromagnetic mass models. In the present letter we consider different metric potentials $\nu$ and $\lambda$ and analyzed them in a systematic way. It is observed that some of the previous solutions related to electromagnetic mass models are nothing but special cases of the presently obtained generalized solution set. We further verify the solution set and show that these are extremely applicable in the case of compact stars as well as for understanding structure of the electron.