BF gravity with Immirzi parameter and cosmological constant

Abstract

The action principle of the BF type introduced by Capovilla, Montesinos, Prieto, and Rojas (CMPR) which describes general relativity with Immirzi parameter is modified in order to allow the inclusion of the cosmological constant. The resulting action principle is on the same footing as the original Plebanski action in the sense that the equations of motion coming from the new action principle are equivalent to the Holst action principle plus a cosmological constant without the need of imposing additional restrictions on the fields. We consider this result a relevant step towards the coupling of matter fields to gravity in the framework of the CMPR action principle.

4 pages, no figures, LaTeX file

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Cited by in corpus (11)

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• On the Relations between Gravity and BF Theories
• A note on the Plebanski action with cosmological constant and an Immirzi parameter
• Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter
• Alternative derivation of Krasnov's action for general relativity
• Spin connection formulations of real Lorentzian General Relativity
• BF gravity with Immirzi parameter and matter fields
• Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
• Barbero's formulation from a $BF$-type action with the Immirzi parameter
• Canonical analysis with no second-class constraints of $BF$ gravity with Immirzi parameter