On the placement of indices in the base manifold

By atomicprecision


Subject: Fwd: 96(2) : On the placement of indices in the base manifold
Date: Sat, 6 Oct 2007 09:39:21 EDT

Dear prof Evans,

I have red note 2 to article 96 and I think that the Eq. 10 should be thread as:

If we start from

(D / F^a) = (R^a_b / q^b)

we will multiple it by tetrad q^lambda_a

q^lambda_a q^a_kappa (D / F^kappa) = q^lambda_a q^a_kappa (R^kappa_b / q^b)

there shouldn’t be three same indices in one statement so

delta^lambda_kappa (D / F^kappa) = delta^lambda_kappa (R^kappa_b / q^b)

(D / F^lambda) = (R^labda_b / q^b)

I think that this is more direct.

Also Eq. 25 make me no seance because this is not possible make such operation with indices.

The main result, Eq. 26, is of course alright.

Best Regards

Karel

2007/10/5, EMyrone] at [aol.com : > > > This note derives the field equations in the base manifold, a 4-D spacetime > with torsion and curvature. This makes it easier to interpret the meaning of > the indices. The differential form equations can then be reduced to vector > equations in a spacetime with torsion and curvature. These have the same > vector structure as the Maxwell Heaviside field equations but the meaning of > the electric and magnetic fields, and charge and current densities are > derived from fundamental general relativity and so classical gravitation has > been unified philosophically with classical gravitation. The theory has been > tested in papers 93-95 for example. >

OK many thanks, we can go with your method, and thanks for this coridal and professional refereeing!

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