Weyl invariant Dirac-Born-Infeld-Einstein theory

Abstract

We consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. An appropriate choice of the metric hides the scalar degree of freedom which is required by the local scale invariance of the action at the first sight, and then a vector field acquires mass. Moreover, nonminimal couplings of the vector field and curvatures are induced, which may be suitable to the vector inflation scenario.

4 pages. To appear in the Proceedings of 20th Workshop in General Relativity and Gravitation in Japan (JGRG20), held in Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan (21 - 25 September 2010)