Abstract: Intrinsic time geometrodynamics (ITG) was advocated in a series of work by Chopin Soo and co-authors. In the quantum context, the theory is described by a Schrodinger equation with a non-trivial physical Hamiltonian; and Einstein's GR is a special case of a wider class of theories described by (ITG). In this scheme without paradigm of space-time four-covariance, higher order spatial curvatures, including
Ricci and Cotton-York terms are permitted, and are introduced to improve the ultra violet convergence. Constant three-curvature solutions of Einstein's theory have the advantage of being also exact solutions of ITG. These include the Schwarzschild-de Sitter solution in PG form. Among other things, as well as the construction of new solutions, we explicitly demonstrate that the Schwarzschild-de Sitter PG form passes
all the observational tests of GR, such as perihelion shift and the bending of light, whereas other known solutions of Horava gravity theories depart starkly from the predictions of Einstein's theory.