Contribution to Stephenson-Kilmister’s unified theory of gravitation and elektromagnetism

Autor:	J. I. Horváth
Rok vydání:	1956
Předmět:	Electromagnetic field Physics Nuclear and High Energy Physics Equations of motion Astronomy and Astrophysics Space (mathematics) Atomic and Molecular Physics and Optics Interpretation (model theory) Gravitation Classical mechanics Electromagnetism Tensor Unified field theory Mathematical physics
Zdroj:	Il Nuovo Cimento. 4:571-576
ISSN:	1827-6121 0029-6341
DOI:	10.1007/bf02745381
Popis:	A geometrical interpretation for Stephenson-Kilmister’s unified theory of gravitation and electromagnetism is given on the base of Finslerian geometry. It is known that the correct equations of motion for a charged test body moving in the Eiemannian space under the pon-deromotorical influence of the electromagnetic field can be deduced from a variationsl principle with the Lagrangian: ℱ(x, dx) = Aµ(x)dxµ + +gµv(x) dxµ dxv1/2, whereAµ(x) andgµv(x) are the components of the potential of the electromagnetic field and the components of the metrical ground tensor of the original Riemannian space, respectively. Considering ℱ(x, dx ) as the ground function of a Pinsler’s space a reformulation of Stephenson-Kilmister’s idea is suggested.
Databáze:	OpenAIRE
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