Exact Solutions of

Einstein's Field Equations, Cambridge University Press, Cambridge, (2003).

By introducing a space-time variable term [XI] that supersedes the so-called cosmological constant [LAMBDA] in

Einstein's field equations, we formally showed that the gravity field of a (neutral) massive source is no longer described by an ill-defined pseudo-tensor, but it is represented by a true canonical tensor [1].

Herlt, Exact Solutions of

Einstein's Field Equations.

The programme met with some initial success, allowing a rederivation of

Einstein's field equations based on field equations for what a spin-2 graviton field should be like.

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;