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Realistic compact star models coupled with the Gaussian density and BEC dark matter density profiles via gravitational decoupling
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DOI：10.1016/j.dark.2026.102397.png)
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Abstract
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The main objective of the present work is to examine the existence of compact stellar structures characterizing anisotropic charged matter distributions with dual density profiles based on minimum geometric deformation (MGD) within the framework of general relativity. In order to solve the decoupled gravitational field equations, the seed source of the system is taken to be a Gaussian-type density profile, while the new source of the same system is considered to be a Bose-Einstein-Condensate (BEC) dark matter (DM) density profile. The solution of the decoupled systems is obtained separately through the Karmarkar condition and deformation function. We explore the physical characteristics of quantities like effective density, radial pressure, tangential pressure and anisotropy factor with regard to variation in the decoupling constant and DM parameters. The stability of the present compact structure is confirmed through analysis of Herrera’s cracking criteria and revised adiabatic condition for anisotropic stellar structures. Analysis of mass-radius curves and moment of inertia-total mass curves provides predicted radii as well as moment of inertia for the observed masses for stars like GW170817-2, PSR J0437-4715, PSR J1903+0327, PSR J074 +6620 and PSR J2215+5135. In the present study, we found the radius of PSR J0740+6620 to be in the range {14.67 km, 15.14 km}, which is in concurrence with the NICER observations.
Keywords:
Compact stars
Dark matter
Gravitational decoupling
Exact solution theory
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