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International JournalofTheoreticalPhysics, vol.65, no.72, pp.1-12, 2026 (Peer-Reviewed Journal)
We study the solution of the gravitational field equations in –gauged gravity, a gauge-theoretic extension of general relativity based on the algebra. In this formulation, the antisymmetric gauge field , associated with additional tensorial generators, induces space-time torsion via the relation , where 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 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 –gauged gravity can reproduce an effective equation-of-state parameter , establishing a connection between space-time torsion and cosmic-string–like dynamics.