Physical Features of Geometrically Deformed Anisotropic Charged Three-dimensional BTZ Black Holes

TL;DR

This paper develops new interior solutions for charged, anisotropic BTZ black holes in three dimensions using geometric deformation, analyzing their thermodynamic properties and potential quantum effects.

Contribution

It introduces a minimal geometric deformation approach to derive physically acceptable interior solutions for charged BTZ black holes with varying equations of state.

Findings

Finiteness of thermodynamic quantities for different charges and deformation parameters

New interior solutions compatible with known 3D spacetimes

Impact of radial deformation on charged BTZ geometry

Abstract

This work employs the minimal geometric deformation decoupling scheme to derive interior stellar solutions in the background of an electrically charged BTZ ansatz as a seed metric in three dimensions. In this respect, we impose two different equations of state to determine the deformation function and the new material contributions emerging from the additional field source. Furthermore, we describe the finiteness of all thermodynamic quantities of the presented stellar solutions, including the effective thermodynamical quantities, for varying values of the deformation parameter and total electric charge. We explore the new interior astrophysical solutions in three-dimensional gravity by analyzing the charged BTZ metric, admitting circular symmetry through the principles of geometric deformation. This study examines the impact of radial-metric deformation on the charged BTZ geometry and underscores the importance of stellar decoupling within the context of electrically charged dense distributions. It is shown that new physically acceptable solutions by incorporating any known three-dimensional spacetime as the isotropic basis are possible, which in turn enable one to analyze the quantum effects due to low degrees of freedom at lower dimensions.