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 .
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 , 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;