Holonomy and torsion defects in spacetimeL. C. Garcia de Andrade
Departamento de Física Teórica, Instituto de Física, UERJ - Rua São Fco. Xavier 524 Rio de Janeiro, RJ Maracanã, CEP 20550-003, Brasil email@example.com
(Received 5 January 2004; accepted in final form 6 February 2004)
Holonomy and loop variables are presented for the spacetime of a torsion line defect in (2+1)-dimensional spacetime immersed on a (3+1)-dimensional spacetime. The metric considered has a teleparallel counterpart presented earlier by Letelier (Class. Quantum Grav. (1995)). In this letter we show that the (2+1)-dimensional torsion defect given by Letelier metric does not appear only in teleparallel (Weitzenböck) spacetime, but also in Riemann-Cartan (RC) spacetime. Since here the space off the torsion defect is not teleparallel, torsion appears only through curvature effects and maybe detected off the torsion lines.
98.80.Cq - Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.).
04.20.Jb - Exact solutions.
© EDP Sciences 2004