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

Oktay Cebecioğlu; Salih Kibaroğlu

doi:10.1007/s10773-026-06292-7

paper

Torsion-Induced Modification to Friedmann Equations in $A d S L_{4}$ Gauged Gravity

arXiv:2603.02864 · doi:10.1007/s10773-026-06292-7

Abstract

We study the solution of the gravitational field equations in $A d S L_{4}$ -gauged gravity, a gauge-theoretic extension of general relativity based on the $A d S L_{4}$ algebra. In this formulation, the antisymmetric gauge field $B^{ab}$ , associated with additional $A d S L_{4}$ tensorial generators, induces space-time torsion via the relation $K^{ab} = μ B^{ab}$ , 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 $A d S L_{4}$ -gauged gravity can reproduce an effective equation-of-state parameter $ω_{B} = - 1/3$ , establishing a connection between space-time torsion and cosmic-string-like dynamics.

10 pages. Published in International Journal of Theoretical Physics

Torsion-Induced Modification to Friedmann Equations in AdSL4​ Gauged Gravity

Abstract

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Torsion-Induced Modification to Friedmann Equations in $A d S L_{4}$ Gauged Gravity