Decoupling of anisotropic wormholes via MGD in the presence of dark matter haloes
Abstract
Abstract In this manuscript, we investigate the existence of wormhole configurations bounded by fuzzy dark matter halos within the context of the minimal geometric deformation approach to gravitational decoupling. Applying this formalism, we geometrically deform the classical Morris–Thorne wormhole solution and add an extra gravitational source, denoted by $$\Theta _{\mu \nu }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Θ</mml:mi> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msub> </mml:math> . The Einasto density profile for the dark matter halos is utilized to set up the temporal component of the $$\Theta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Θ</mml:mi> </mml:math> -sector. We obtain the corresponding shape function from this construction and examine its behavior to make the wormhole configuration traversable. Physical viability of the emergent spacetime is checked with a range of diagnostics. We study energy conditions and present their behavior graphically. To gain a better insight into the internal physical characteristics, we analyze the complexity factor, exoticity parameter, and anisotropy factor, which provide information about the stability and matter content of the configuration. In addition, we perform a cracking analysis to test stability in the presence of perturbations and investigate the causality condition to verify subluminal sound speeds. Our results indicate that the MGD-Einasto model facilitates the realization of wormhole configurations with controlled exotic matter content, forming a promising path for connecting dark matter halo physics to modified gravity solutions.