engleski

A Metric Tensor of the New General Lorentz Transformation Model

A new General Lorentz Transformation model (GLT-model) derived by Novakovic (1999) for the particle motion in x-axis only, has been extended to the full form including y and z - axes. Starting with this transformation model, a general line element and a corresponding general metric tensor of GLT - model have been derived. The general line element and the metric tensor are functions on two free parameters alfa and alfa' , which are the functions on the space-time coordinates. The identification of two free parameters of GLT-model has been done for a weak and a strong gravitational field. The weak gravitational field solution of the two free parameters of GLT-model corresponds to the well-known Schwartzschild’ s metrics of the line element, for a spherically symmetric non-rotating body. It is very important to point out that the line element of GLT-model given in a non-diagonal form has got a very important property: non-singularity in a very strong gravitational field. Finally, a simple coordinate transformation procedure has been derived that transforms a general line element into diagonal one, with metric components (-1, 1, 1, 1), equal to the metrics in Special Relativity. Since the all items in SR and GR can be described as the functions of two free parameters of GLT-model, the possibilities of an unification of Einstein's Special and General Theories of Relativity, as well as a new unification of electromagnetic and gravitational fields are opened.

New General Lorentz ransformations; General Line Element; General Metric Tensor; Special Relativity; General Relativity

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