Theories of gravity with a non-Riemannian manifold have been studied since the advent of Einstein's general relativity. In this paper, after an introduction on theories of gravity with a non-Riemannian spacetime and in particular on the nonsymmetric Moffat theory, we briefly describe the techniques of lunar and satellite laser ranging. Among the various applications of lunar and satellite laser ranging are several important measurements and tests of Einstein's general relativity as well as constraints on some alternative gravity theories. In particular, lunar and satellite laser ranging put strong validity limits on the 1983 nonsymmetric Moffat theory.
Focus Point on Tests of General Relativity and Alternative Gravity Theories
