The lagrangian of q-Poincar e ́ gravity

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Abstract

The gauging of the q-Poincar e ́ algebra of L. Castellani [Differential calculus on ISOq(N), quantum Poincaré algebra and q-gravity, Torino preprint DFTT-70/93, 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.

Lingua originaleInglese
pagine (da-a)22-28
Numero di pagine7
RivistaPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume327
Numero di pubblicazione1-2
DOI
Stato di pubblicazionePubblicato - 12 mag 1994
Pubblicato esternamente

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