VERTICES IN A SCALAR-GRAVITY SYSTEM IN THE TELEPARALLEL GRAVITY THEORY

We consider a scalar field interacting gravitationally in teleparallel gravity theory. In this theory, the gravity is defined as a translational gauge field and thus gravita-tional interaction can be introduced through a minimal coupling prescription as in standard gauge theory. In this paper we consider scalar-gravity interacting terms of the scalar-gravity Lagrangian and derive the corresponding vertices by writing the tetrad field hµa as δ µ a + b µ a. We obtain six different vertices: one-gravity, two-gravity