Gravitation as anholonomy
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Data
2003-06-01
Autores
Aldrovandi, R.
Barros, P. B.
Pereira, J. G.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Kluwer Academic/plenum Publ
Resumo
A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenbock connection. In a tetrad frame, that torsion is just the anholonomy of that frame. The infinitely many tetrad fields taking the Lorentz metric into a given Riemannian metric differ by point-dependent Lorentz transformations. Inertial frames constitute a smaller infinity of them, differing by fixed-point Lorentz transformations. Holonomic tetrads take the Lorentz metric into itself, and correspond to Minkowski flat spacetime. An accelerated frame is necessarily anholonomic and sees the electromagnetic field strength with an additional term.
Descrição
Palavras-chave
anholonomy, gravitation, teleparallelism
Como citar
General Relativity and Gravitation. New York: Kluwer Academic/plenum Publ, v. 35, n. 6, p. 991-1005, 2003.