Computational analysis of thin-shell with scalar field for class of new black hole solutions in metric-affine gravity

Abstract

The aim of this study is to investigate the geometric structure of a thin-shell within the context of metric-affine gravity. To accomplish this, we employ a cut and paste approach to match the inner Minkowski spacetime and an outer newly calculated class of black hole solutions in metric-affine gravity. These solutions are Reissner–Nordström-like black holes with shear, spin, dilation, electric, magnetic charges, and a cosmological constant. Using the Klein–Gordon equation of motion, we analyze the dynamics of the thin-shell configuration under both massive and massless scalar fields. We find that the scalar field affects thin-shell dynamics and can lead to interesting effects such as dynamics and stability configurations. We demonstrate that the linearized radial perturbation approach employing a phantom-like equation of state, such as quintessence, dark energy, and phantom energy, reveal stable configurations of the thin-shell located beyond the expected position of the event horizon of the exterior manifold. We also find that the stability of the thin-shell depends strongly on the parameters of the black hole solutions. Our results shed light on the dynamics of thin-shells in the context of metric affine gravity with scalar fields and provide new insights into the behavior of black hole solutions in this theory. It is concluded that the thin-shell composed of quintessence and dark energy shows the more stable configuration for the choice of Reissner-Nordström-like black holes with shear, spin, and dilation charges.