Abstract
The theory of gravitation of a previous paper is presented in a deductive and more rigorous form. The assumptions made about the space-time metric, the scalar gravitational potential and the special (Newtonian) charts are summarized. An action principle is stated, and the conservation laws of energy-momentum and angular momentum are derived. Lagrangian densities for the gravitational field are found by assuming that weak gravitational waves propagate at the speed of light. The assumption that gravitational energy is not itself a source of the gravitational field leads, as in a previous paper, to a theory that is at present observationally indistinguishable from Einstein's; the opposite assumption leads to a distinguishable theory. The interactions of the gravitational field with the electromagnetic field and with an ideal fluid are discussed. The simplicity of the theory (space-time formally flat and one scalar potential to describe the gravitational field) is emphasized.
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