Stellar Configurations in f(R,Lₘ,T) Gravity: Probing Anisotropy and Stability via Minimal Geometric Deformation

Present study uses the minimal geometric deformation scheme within the paradigm of f(R,Lₘ,T) gravity to model anisotropic compact stars using class-1 embedding spacetime. We introduce deformation of radial component of metric tensor which results in the decoupling of Einstein field equations and introduces an andditional gravitational source. The involved constants are then evaluated by adopting the data of seven realistic star candidates through matching of inner region with outer Schwarzschild line element. A comprehensive investigation of three compact stars is done graphically to examine the impact of coupling parameter β and the deformation parameter n, revealing positive well-behaved energy densities and pressures, satisfying energy conditions. The study found that negative coupling parameter β values allow more mass accumulation while maintaining the crucial physical characteristics such as stability through Herrera's cracking condition and the extended Tolman-Oppenheimer-Volkoff equation. This study emphasizes the importance of gravitational decoupling for mass, redshift and compactness, providing vital insights into the internal structure of stellar bodies within this new generalized gravity framework.