Abstract
A conformal gauge theory of (2+1)-dimensional gravity is developed within a fiber-bundle structure. Here gravitational field variables are triads and Lorentz gauge potentials, both introduced under a nonlinear realization, which leads to a spontaneous break of symmetry. The most general gravitational Lagrangian density is given in a quadratic form of the conformal invariant gauge fields. We also obtain the Poincaré gauge theory in vacuum. In a weak-field limit the gravitational field equations for a static and spinless point-like source, are naturally reduced to the Newtonian case.
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