Physics NotePublished
The Lagrangian of q-Poincaré Gravity
Leonardo Castellani
1994
Publication details
- Authors
- Leonardo Castellani
- Type
- Physics Note
- Status
- Published
- Publication date
- 1994
- Description
- The gauging of the q-Poincaré algebra of ref. [1] 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.
- Year
- 1994
- Number
- CBPF-NF-011/94
- Linked to a thesis
- No
- Linked to a grant
- No