The year 2015 also marks the 100th anniversary of Einstein's geometric theory of space-time and gravitation, the General Theory of Relativity, since the final formulation of the generally covariant Einstein's field equations
of gravitation in the last quarter of 1915 (during a very tragic and difficult time of World War I).
PR satisfies Einstein's field equations
but does not utilize weak field approximation.
In his original paper , Kurt Godel has derived an exact solution to Einstein's field equations
in which the matter takes the form of a pressure-free perfect fluid (dust solution).
Let one uses Einstein's Field Equations
, with the inclusion of the [LAMBDA] "cosmological constant" term.
This is the singularity that Karl Schwarzschild discovered when he solved Einstein's field equations
for a symmetrical, non-rotating body.
Static Solutions of Einstein's Field Equations
for Sphere of Fluid.
This paper explains how within Schwarzschild's solution  to Einstein's field equations
the effects of gravity can be represented as a velocity and as an apportionment of mass-energy equivalence.
For the interior space time, Einstein's field equations
are well known to be given as;
It is instructive to note that our generalized metric tensor satisfy Einstein's field equations
and the invariance of the line element; by virtue of their construction [1, 12].
The above equations are analogous to the gravitoelectromagnetic (GEM) equations derived by Mashhoon  as a lowest order approximation to Einstein's field equations
for v << c and r >> R.
This paper reveals and amplifies a few such anomalies, including the fact that Einstein's field equations
for the so-called static vacuum configuration, [R.
The only solutions known for Einstein's field equations
involve a single gravitating source interacting with a test particle.