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 [1], 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 [5], 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 [2] 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 [2] 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.