Abstract
Theories of gravitation similar to General Relativity but with an additionalR2 term in the Lagrangian are explored. The Schwarzschild metric is not the exterior solution that can be continued to the interior of the body to give a positive definite mass distribution. The experimental consequences ofR2 terms are investigated. Furthermore, it is shown that a theory with anR2 term only possesses an interesting singular dependence on the coupling constant.
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