Generalized cosmological constant from gauging Maxwell-conformal algebra


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Kibaroğlu S., Cebecioğlu O.

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol.803, 2020 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 803
  • Publication Date: 2020
  • Doi Number: 10.1016/j.physletb.2020.135295
  • Title of Journal : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
  • Keywords: Lie algebra, Gauge field theory, Modified theory of gravity, Cosmological constant, SPONTANEOUSLY BROKEN, SCALE-INVARIANCE, SPACE-TIME, FIELD, EXTENSION, PARTICLE, RELATIVITY, PRINCIPLE, EQUATIONS, SYMMETRY

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.