@article{oai:nagoya.repo.nii.ac.jp:00026939, author = {Kenmoku, Masakatsu and Okamoto, Yuko and Shigemoto, Kazuyasu}, issue = {2}, journal = {Physical Review D}, month = {Jul}, note = {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.}, pages = {578--582}, title = {Generalized Einstein theory on solar and galactic scales}, volume = {48}, year = {1993} }