Speaker
Dr
Alcides Garat
(Former Professor at Universidad de la Republica-Facultad de Ciencias)
Description
A new technique is presented in order to build tetrads in a 4-dimensional Einstein-Maxwell spacetime. These tetrads have special useful properties in relativity and also particle physics. A new fundamental result is proved in group theory. The group SO(2) (spatial rotations) is isomorphic to the group SO(1,1) (boosts) plus two kinds of discrete transformations. That is, a compact group is isomorphic to a non-compact group plus two kinds of discrete transformations (A. Garat, J. Math. Phys. 46, 102502 (2005)). The electromagnetic local gauge group is proved to be isomorphic to the local group of transformations of these particular kind of tetrads. Therefore, establishing a concrete link between internal and spacetime local groups of transformations. These new tetrads also diagonalize the electromagnetic
stress-energy tensor for non-null electromagnetic fields, any stress-energy tensor, in a general, covariant and local way. These new tetrads also introduce maximum simplification in the Einstein-Maxwell differential equations and also introduce maximum simplification in the expression of the electromagnetic field itself, in any curved four-dimensional Lorentzian spacetime, allowing for the identification of its degrees of freedom in two
local scalars.
Primary author
Dr
Alcides Garat
(Former Professor at Universidad de la Republica-Facultad de Ciencias)
