Charged analogue of well behaved neutral spheres: an algorithmic approach

Abstract

We establish a systematic algorithmic approach that generates new classes of solutions to the Einstein-Maxwell system in static spherically symmetric spacetime from well known uncharged solutions. A particular case is shown to satisfy all major physical features of a realistic charged star including the standard point-wise energy conditions of normal matter. The solution matches smoothly with the exterior Reissner-Nordström metric at the pressure free interface. The study, which is reported for a particular choice of gravitational potential, encourages similar approaches to study electrification of well known physically realistic uncharged models.

Generalised model for anisotropic compact stars

“…For that purpose, we have calculated model parameters (see Tables 1, 2 and 3) by choosing the radius of the compact stars R X J 1856-37,S AX J 1808.4-3658 (SS2) and S AX J 1808.4-3658 (SS1). The calculated mass in Table 1 of the different compact stars are matched well with the proposed values by Li et al [19], Tikekar and Jotania [20] and Thirukkanesh and Ragel [21]. In Fig.…”

“…Moreover, the predicted results of these stars are consistent with the observational data and the theoretical models of the strange stars which are the same as proposed by Refs. [19][20][21]. Hence S AX J 1808.4-3658 (SS1), S AX J 1808.4-3658 (SS2) and R X J 1856-37 are strange star candidates.…”

“…In the present article using the observed parameters [19][20][21] of ultra-dense compact stars like RXJ 1856-37, SAX J 1808.4-3658 (SS1) and SAX J 1808.4-3658 (SS2), we have studied the consistency of the proposed model with these compact stars. One may notice that all these stars are nothing but pulsars.…”

Charged anisotropic compact objects by gravitational decoupling

“…So, in the present work we obtain from the charged isotropic Heinzmann's interior solution describing compact star [15], an anisotropic extension. It's achieved employing the so called minimal geometric deformation approach (MGD) [29,30].…”

“…Along this work the thermodynamics observableρ andp, correspond to charged isotropic Heintzmann interior solution [15]. According to this representation, the extra gravitational contribution is given by the θ -term, which causes a deviation from G R. In principle this additional gravitational source can be e.g.…”