Field of complex linear frames on real space-time manifold as dynamical variable for generally-covariant models

• Autorzy: Godlewski P.
• Języki publikacji: EN

Abstrakty

EN

A model of the self-interacting field of complex linear frames E on an n-dimensional real manifold is investigated. The model is generally-covariant and GL(n, C)- invariant. If n = 4, the components of E can be interpreted as dynamical variables for the gravitational field. A Lagrangian of E is constructed, the Euler-Lagrange equations are derived and a wide class of their solutions is found. The solutions are built of left invariant vector fields on a real semisimple Lie group "deformed" by a complex factor of a natural exponential structure.

Słowa kluczowe

EN

Euler-Lagrange equations; field of complex linear frames; semisimple Lie group; teleparalleism connection

PL

równania Eulera-Lagrange'a; rozmaitość rzeczywista; struktury liniowe; zmienne dynamiczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 819--835
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Godlewski P.

• Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Bibliografia

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