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We propose a new classical theory of gravity which is based on the principleof equivalence and assumption that gravity, similarly to electrodynamics, isdescribed by a vector field in Minkowski space-time. We show that suchassumptions yield a unique theory of gravity; it passes all available tests andfree of singularities such as black holes. In the present theory, gravity isdescribed by four equations which have, e.g., exact analytical solution forarbitrary static field. For cosmology our equations give essentially the sameevolution of the Universe as general relativity. Predictions of our theory canbe tested within next few years making more accurate measurement of the timedelay of radar signal traveling near the Sun or by resolving the supermassiveobject at the center of our Galaxy with VLBA. If general relativity is correctwe must see a steady shadow from a black hole at the Galactic center. If thepresent theory is right then likely the shadow will appear and disappearperiodically with a period of about 20 min as we predicted in JCAP 10 (2007)018. Observation of such oscillations will also provide evidence for darkmatter axion with mass in meV range.

Vector theory of gravity in Minkowski space-time: flat Universe without black holes