Gauge Vectors-Tensor Gravity

Abstract: We review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide to those of the Einsten-Hilbert action but the physics of its very weak fields should be identified through observation. We show that GVT is at least as dynamically stable as the Einstein-Hilbert gravity. It accommodates the MOND paradigm. We study its gravitational light deflection. We show that the post Newtonian parameter of $\gamma$ vanishes in the MOND regime of GVT gravity. Since $\Lambda$CDM assumes that $\gamma=1$, this suggests to observationally measure the $\gamma$ parameter in the weak regime of gravity as either a test for $\Lambda$CDM or GVT models