- #1
member 11137
Be kind with me I am just a dentist; nevertheless I am trying to understand the GR and the Theory of Spinors.
In this sense I tried to explore the fundations of the GR and made use of a Taylorisation of the variations of the basis vectors de (with subscript 0, 1, 2 or 3) until the second order insteed of only until the first order as in the traditional moving frame method and I reach a surprising result that seems to be interesting:
if the Schwarz's condition holds, then the Riemann tensor can be built with the terms of second order of the Taylorisation first and second the terms of the first order should be isotropic vectors thus generating a sub-space with dimension at most equal to 2, thus suggesting a correlation with EM field...
My question is: Does it really make a physical sense to work with this Taylorisation insteed with the usual moving frame method establishing a linear dependence via the Christoffel's symbols of second kind between the de and the e? Thank you
In this sense I tried to explore the fundations of the GR and made use of a Taylorisation of the variations of the basis vectors de (with subscript 0, 1, 2 or 3) until the second order insteed of only until the first order as in the traditional moving frame method and I reach a surprising result that seems to be interesting:
if the Schwarz's condition holds, then the Riemann tensor can be built with the terms of second order of the Taylorisation first and second the terms of the first order should be isotropic vectors thus generating a sub-space with dimension at most equal to 2, thus suggesting a correlation with EM field...
My question is: Does it really make a physical sense to work with this Taylorisation insteed with the usual moving frame method establishing a linear dependence via the Christoffel's symbols of second kind between the de and the e? Thank you