Electrically charged isotropic stars with Tolman[formula omitted] model

Abstract

The paper discusses novel solutions of Einstein–Maxwell field equations by describing the static spherically symmetric isotropic matter distributions and electrifying a well-known uncharged model in general relativity. We start by selecting a Tolman−IV type potential for the gravitational potential gtt and a physically reasonable choice for the electric field intensity E in view to exploiting isotropic sources of matter which act as a basis for generating confined compact stars. These solutions are constructed to match interior space–time geometries with exterior Reissner–Nordström solution at the pressure-free boundary. The viability of the models is compared with observational data of some heavy pulsars coming from the Neutron Star Interior Composition Explorer (NICER). In particular, Her X-1, SAX J1808.4-3658, and 4U 1538-52 are considered. We stretch our findings by measuring the mass–radius relationship for our developed model, which reveals that the predicted radii via the M–R curve are lying in the range of R≤14–16km. Moreover, the generated model satisfies all of the required major physical properties for realistic compact stars. We can also say that this approach can play a vital role in encouraging the study of the electrification of well-known neutral stellar systems.