Torsion-Induced Modification to Friedmann Equations in $$AdSL_{4}$$ Gauged Gravity

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Cebecioğlu O., Kibaroğlu S.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.65, sa.77, ss.1-12, 2026 (SCI-Expanded, Scopus)

Özet 

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.