Abstract

We present a geometric scalar theory of gravity. Our proposal willbe described using the ``background field method" introduced byGupta, Feynman, Deser and others as a field theory formulation of generalrelativity. We analyze previous criticisms against scalar gravityand show how the present proposal avoids these difficulties. Thisconcerns not only the theoretical complaints but also those relatedto observations. In particular, we show that the widespread beliefof the conjecture that the source of scalar gravity must be thetrace of the energy-momentum tensor — which is one of the maindifficulties to couple gravity with electromagnetic phenomenon inprevious models — does not apply to our geometric scalar theory.From the very beginning this is not a special relativistic scalargravity. The adjective ``geometric" pinpoints its similarity withgeneral relativity: this is a metric theory of gravity. Some consequencesof this new scalar theory are explored.

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