Artículos de revistas
Gravitation as anholonomy
Fecha
2003-06-01Registro en:
General Relativity and Gravitation. New York: Kluwer Academic/plenum Publ, v. 35, n. 6, p. 991-1005, 2003.
0001-7701
10.1023/A:1024060732690
WOS:000183252200002
1599966126072450
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.