New Theory of Gravitation

A locally Lorentz-invariant curved-space theory of gravitation where the local field is a massless, spin-2 field ${{\varphi }_{\mu }}^{\nu }$ of Pauli-Fierz type is presented. In this theory $g_{\mu \nu }$ is no longer the gravitational potential itself but reduces to a functional $g_{\mu \nu }\left({{\varphi }_{\alpha }}^{\beta }\right)$ of ${{\varphi }_{\mu }}^{\nu }$. Several rigorous and a general iteration solution of this type are exhibited. The static central body problem reduces exactly to author's 1958 theory in the special case ${{\varphi }_{\mu }}^{\nu }\to {{\varphi }_0}^0=\varphi$ and ${\partial }^{\mu }{{\varphi }_{\mu }}^{\nu }\to {\partial }^0\varphi =0\mathrm{}$ so that as in that theory the three crucial tests are satisfied.