We study the solution of the gravitational field equations in $AdSL_{ 4}$-gauged gravity, a gauge-theoretic extension of general relativity based on the $AdSL_{ 4}$ algebra. In this formulation, the antisymmetric gauge field $B^{ ab}$, associated with additional $AdSL_{ 4}$ tensorial generators, induces space-time torsion via the relation $K^{ ab}=\mu B^{ ab}$, where $K^{ ab}$ denotes the contorsion 1-form. The presence of torsion modifies both the spin connection and curvature, leading to an extended set of Einstein-Cartan field equations. Focusing on spatially homogeneous and isotropic cosmological backgrounds, we derive the modified Friedmann equations which explicitly incorporate the torsional contribution. The resulting acceleration equation admits de Sitter-like solutions in which cosmic acceleration originates purely from the gauge-theoretic structure of enlarged four-dimensional space-time symmetries. Within this formulation, the dynamical components of the gauge field $B^{ ab}$ emerge naturally as a source of the effective cosmological constants, without the introduction of exotic matter sources. Furthermore, our analysis shows that the torsion-driven cosmological phase in $AdSL_{ 4}$-gauged gravity can reproduce an effective equation-of-state parameter $\omega_{ B}=-1/3$, establishing a connection between space-time torsion and cosmic-string-like dynamics.
Categories: hep-th