The Lagrangian of q-Poincare' Gravity

Details The Lagrangian of q-Poincare' Gravity The Lagrangian of q-Poincare' Gravity

1994-02-07

arxiv.org/abs/hep-th/9402033v2

Phys.Lett. B327 (1994) 22-28

Physics

High Energy Physics

High Energy Physics - Theory

12 pp., LaTeX, DFTT-01/94 (extra blank lines introduced by mailer, corrupting LaTeX syntax, have been hopefully eliminated)

Scientific paper

10.1016/0370-2693(94)91522-9

The gauging of the q-Poincar\'e algebra of ref. hep-th 9312179 yields a non-commutative generalization of the Einstein-Cartan lagrangian. We prove its invariance under local q-Lorentz rotations and, up to a total derivative, under q-diffeomorphisms. The variations of the fields are given by their q-Lie derivative, in analogy with the q=1 case. The algebra of q-Lie derivatives is shown to close with field dependent structure functions. The equations of motion are found, generalizing the Einstein equations and the zero-torsion condition.

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