Gauge Theory of Maxwell-Weyl Group

Abstract

Starting from Maxwell-Weyl algebra we found the transformation rules for generalized space-time coordinates and the differential realization of corresponding generators. By treating local gauge invariance of Maxwell-Weyl group, we presented the Einstein-Cartan-Weyl gravity with the additional terms containing the gauge fields associated with the antisymmetric generators.

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Cited by in corpus (13)

• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Maxwell-affine gauge theory of gravity
• Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra
• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Maxwell extension of $f(R)$ gravity
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• Gauging the Maxwell extended $\mathcal{G}\mathcal{L}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
• Cosmological application of the Maxwell gravity
• Maxwell-Modified Metric Affine Gravity
• On the geometric approach to the boundary problem in supergravity
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• (1+1)-dimensional gauge symmetric gravity model and related exact black hole and cosmological solutions in string theory
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity