PRIDE CHEKERAthe scientific society. His Special and General relativity theories
went in forefront of physics and changed everything.
Einstein’s Field Equation:
푅휇푣 - 12 푔휇푣푅 + 푔휇푣훬 =
8 휋퐺푇휇푉
퐶^4 ....................(1)^
퐺휇푣 = k푇휇푣 - 푔휇푣훬...................................(2)
Equation (1) is the final EFEs, of which its left hand side (LHS)
describes the curvature of space-time represented by the Ricci
curvature tensor of order 2, 푅휇푣. The Ricci curvature tensor was
derived from contraction of a rank 4 Riemannian tensor, 푅휇훼푣훽.
The Ricci curvature tensor is proportional to the stress-energy
rank 2 tensor, 푅휇푣 = 푘푇휇푣. That’s why Einstein derived the
Ricci tensor, since the meaning of his theory would be lost if he
tried to formulate a rank 4 stress-energy tensor and
proportionate it with the rank 4 Riemannian tensor. 푔휇푣 is the
metric tensor rank 2 (remember above l discussed about the
metric tensor, when l defined it as a dot product of basis vectors
of vectors and did some derivations involving it) which defines
the temporal symmetry of EFEs: 푔휇푣= 푔푣휇, implying that
휕푔휇푣
휕푡 =^0 , conserves the consistence of laws of physics when
time reversal symmetry is taken into consideration. In physics