Generalized cosmological constant from gauging Maxwell-conformal algebra

Abstract

The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our gravitational action contains the Einstein-Hilbert term without introducing any additional (compensator) scalar field to satisfy the local scale invariance. This is achieved by using the curvatures of the algebra. In a special condition, we show that the resulting action is reduced to the Brans-Dicke like theory of gravity. We subsequently find the generalized Einstein field equation together with a coordinate dependent cosmological term and additional contributions.

11 pages

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• Maxwell extension of $f(R)$ gravity
• 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
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity