Generalized Einstein Theory on Solar and Galactic Scales
Abstract
We study a generalized Einstein theory with the following two criteria: i) on the solar scale, it must be consistent with the classical tests of general relativity, ii) on the galactic scale, the gravitational potential is a sum of Newtonian and Yukawa potentials so that it may explain the flat rotation curves of spiral galaxies. Under these criteria, we find that such a generalized Einstein action must include at least one scalar field and one vector field as well as the quadratic term of the scalar curvature.
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