Recently, the author, in terms of his 5D fully covariant theory
of gravitation, has quantitatively determined the dielectric constant of the polarized vacuum in accordance with the charge-mass ratio of a charged object .
They cover the general relativistic two-body problem, Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations, the covariant theory
of the post-Newtonian equations of motion of extended bodies, the DSX-framework, the general relativistic theory of light propagation in multipolar gravitational fields, the back-reaction problem in cosmology, and post-Newtonian approximations in cosmology, ([umlaut] Ringgold, Inc.
Anderson believed that the covariant theory
limited the possible forms of physics laws, and not all theories of relativistic physics required Lorentz transformation.
The covariant theory of gravitation (CTG) appeared in 2009 , as a consequence of the relativistic generalization of the Lorentz-invariant theory of gravitation (LITG).
In this section we shall write down known relations for the Lagrange function and the principle of least action for the covariant theory of gravitation (CTG).
As shown herein, the origin of the problem is the use of the general covariant theory