The Dirac Equation In Teleparellel Theory For Nonfactorizable Metric

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Classical General Relativity, Other Topics In General Relativity And Gravitation

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There are seraval important point between General Relativity(GRT) and Teleparallel Theory(TPT). According to the general relativity, it is possible to be considered the gravitational intereaction not as a force but as a geometric deformation of the flat Minkownski spacetime. On the other hand, teleparallelism attributes gravitation to the torsion of spacetime. In addition to this, the Riemann space -time is used to the general relativity and the torsion tensor is supposed to vanish in place of the curvature tensor. On the contrary, teleparallel gravity can be seen as gauge theory for the translation group based on the Weitzenböck geometry and the curvature tensor vanishes identically in place of the torsion tensor The general relativity is equivalent to the Teleparallel Theory spite these differences. In my presentation, we will try to show this equivalent for the nonfactorizable metric; ds2 = d t2 - a2(t)d x2 - a2(t)b2(x)d y2 - a2(t)b2(x)c2(y)d z2.

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