The Lagrangian of q Poincare gravity
Feb, 199412 pages
Published in:
- Phys.Lett.B 327 (1994) 22-28
e-Print:
- hep-th/9402033 [hep-th]
Report number:
- DFTT-01-94
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Abstract:
The gauging of the -Poincar\'e algebra of ref. \cite{qpoincarebic} yields a non-commutative generalization of the Einstein-Cartan lagrangian. We prove its invariance under local -Lorentz rotations and, up to a total derivative, under -diffeomorphisms. The variations of the fields are given by their -Lie derivative, in analogy with the case. The algebra of -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.- gravitation
- gauge field theory: Poincare
- algebra: deformation
- field theory: action
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