Charged anisotropic compact objects obeying Karmarkar condition

TL;DR

This paper presents an analytical model of charged, anisotropic compact stars satisfying the Karmarkar condition, exploring their physical properties and fitting data from known neutron star candidates.

Contribution

It introduces a new exact solution for charged anisotropic stars under the Karmarkar condition, linking geometric assumptions with physical properties of compact objects.

Findings

Electric field and charge magnitudes are of order 10^{21} V/cm and 10^{20} C.

Model parameters can fit observed neutron star data such as SMC X-1 and LMC X-4.

Mass and surface red-shift vary with the parameter hi, affecting star stability.

Abstract

This research develops a well-established analytical solution of the Einstein-Maxwell field equations. We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. The class I methodology is used to close the system of equations and a suitable relation between the anisotropy factor and the electric field is imposed. The inner geometry of this toy model is described using an ansatz for the radial metric potential corresponding to the well-known isotropic Buchdahl space-time. The main properties are explored in order to determine if the obtained model is appropriate to represent a real compact body such as neutron or quark star. {We have fixed the mass and radii using the data of the compact objects} SMC X-1 and LMC X-4. It was found that the electric field and electric charge have magnitudes of the order of $\sim 10^{21}\ [V/cm]$ and $\sim 10^{20}\ [C]$, respectively. The magnitude of the electric field and electric charge depends on the dimensionless parameter $\chi$. To observe these effects on the total mass, mass-radius ratio and surface gravitational red-shift, we computed numerical data for different values of $\chi$.