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arXiv · 1606.00756

Local Lorentz transformations and Thomas effect in general relativity

Alexander J. Silenko
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Abstract

The tetrad method is used for an introduction of local Lorentz frames and a detailed analysis of local Lorentz transformations. A formulation of equations of motion in local Lorentz frames is based on the Pomeransky-Khriplovich gravitoelectromagnetic fields. These fields are calculated in the most important special cases and their local Lorentz transformations are determined. The local Lorentz transformations and the Pomeransky-Khriplovich gravitoelectromagnetic fields are applied for a rigorous derivation of a general equation for the Thomas effect in Riemannian spacetimes and for a consideration of Einstein's equivalence principle and the Mathisson force.

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Alexander J. Silenko. 2016-05-31. Local Lorentz transformations and Thomas effect in general relativity. https://doi.org/10.1103/physrevd.93.124050

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