Spinor theory of general relativity without elementary gravitons

Abstract

We propose a generally covariant and locally Lorentz invariant theory of a Majorana spinor field ψ μ α . Our theory has no elementary spin-2 quanta, but does reproduce Einstein's general relativity as a classical solution. We compare this situation to the possibility of finding classical monopoles in a gauge theory, even though no such elementary object is introduced at the outset.