Generalized cosmological constant from gauging Maxwell-conformal algebra


KİBAROĞLU S., CEBECİOĞLU O.

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, cilt.803, 2020 (SCI-Expanded, Scopus)

Özet

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.