Charged Anisotropic Models with Complexity-free Condition

Abstract

This paper uses the definition of complexity for a static spherically symmetric spacetime and extends it to the case of charged distribution. We formulate the Einstein-Maxwell field equations corresponding to the anisotropic interior and calculate two different mass functions. We then take Reissner-Nordström metric as an exterior spacetime to find the matching conditions at the spherical boundary. Some scalars are developed from the orthogonal splitting of the curvature tensor, and we call one of them, i.e., ${\mathcal{Y}}_{TF}$ as the complexity factor for the considered setup. Further, the three independent field equations are not enough to close the system, therefore, we adopt the complexity-free condition. Along with this condition, we consider three constraints that lead to different models. We also present the graphical interpretation of the resulting solutions by choosing some particular values of parameters. We conclude that the models corresponding to $p_r=0$ and a polytropic equation of state show viable and stable behavior everywhere.

25 pages, 13 figures

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