criticisms of the einstein field equation - Alpha Institute for Advanced ...

CHAPTER 4. VIOLATION OF THE DUAL BIANCHI IDENTITY . . .
Ricci Tensor
Ric 00 =
4 m (r − 2 m) λ2
r 2
2 r − 3 m
Ric11 = −
r2 (r − 2 m)
Ric 22 = − 8 r 2 λ 2 − 8 m r λ 2 − 1
Ric 33 = − sin 2 ϑ 8 r 2 λ 2 − 8 m r λ 2 − 1
Ricci Scalar
Rsc = − 2 12 r 2 λ 2 − 12 m r λ 2 − 1
r 2
Bianchi identity (Ricci cyclic equation Rκ [µνσ] = 0)
———— o.k.
Einstein Tensor
G 00 = − (r − 2 m) 12 r 2 λ 2 − 16 m r λ 2 − 1
G 11 =
r 3
(2 r λ − 1) (2 r λ + 1)
4 r 3 (r − 2 m) λ 2
G 22 = 4 r (r − m) λ 2
G 33 = 4 r (r − m) sin 2 ϑ λ 2
Hodge Dual of Bianchi Identity
———— (see charge and current densities)
0 i0
Scalar Charge Density (-R i )
ρ =
4 m λ2
r − 2 m
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