Post date: Jun 18, 2017 3:11:46 AM
In Einstein's Field Equations Gij=-kTij,the Energy Momentum Tensor Need Not be Unique.Any Arbitrary Tensor with Vanishing Vectorial Divergence Could be Added to Source Term to Yield an Exact Solution to Einstein's Field Equations. Sij was such a Term Introduced by the Author to Obtain an Exact Solution to Remove the Initial Singularly at the beginning of the Universe.
Two possible Physical Interpretations are are there.
(1)Sij represents Non-gravitational nature of material distribution.
(2)Sij represents the Energy Momentum Tensor of A Repulsive Fluid.
The first physical interpretation is contained in the paper"Non-Gravitational Approach to Cosmological Singularly "presented by the author at ICGC-95.
And the second interpretation is contained in the paper"Cosmic Repulsion in Presence of Matter."(ref:gr-qc/0106029 in xxx.lanl.gov).
Sudhakaran Gopalan[author of " mathematical philosophy of time(IJERT)"and gr-qc/0106029 in xxx.lanl.gov].
https://www.linkedin.com/pulse/energy-tensor-unique-einsteins-field-equations-gopalan-sudhakaran