Spherically symmetric charged compact stars

Abstract

In this article we consider the static spherically symmetric metric of embedding class 1. When solving the Einstein–Maxwell field equations we take into account the presence of ordinary baryonic matter together with the electric charge. Specific new charged stellar models are obtained where the solutions are entirely dependent on the electromagnetic field, such that the physical parameters, like density, pressure etc. do vanish for the vanishing charge. We systematically analyze altogether the three sets of Solutions I, II, and III of the stellar models for a suitable functional relation of $$u (r)$$ν(r). However, it is observed that only the Solution I provides a physically valid and well-behaved situation, whereas the Solutions II and III are not well behaved and hence not included in the study. Thereafter it is exclusively shown that the Solution I can pass through several standard physical tests performed by us. To validate the solution set presented here a comparison has also been made with that of the compact stars, like $$RX~J~1856-37$$RXJ1856-37, $$Her~X-1$$HerX-1, $$PSR~1937+21$$PSR1937+21, $$PSRJ~1614-2230$$PSRJ1614-2230, and $$PSRJ~0348+0432$$PSRJ0348+0432, and we have shown the feasibility of the models.