  We discuss the quantization of Delta gravity, a two symmetric tensors model
of gravity. This model, in Cosmology, shows accelerated expansion without a
cosmological constant. We present the $\tilde{\delta}$ transformation which
defines the geometry of the model. Then we show that all delta type models live
at one loop only. We apply this to General Relativity and we calculate the one
loop divergent part of the Effective Action showing its null contribution in
vacuum, implying a finite model. Then we proceed to study the existence of
ghosts in the model. Finally, we study the form of the finite quantum
corrections to the classical action of the model.
