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Gravity as a constrained BF theory: Noether charges and Immirzi parameter

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arxiv 1103.2971 v2 pith:UIOA7EGU submitted 2011-03-15 gr-qc

R. Durka , J. Kowalski-Glikman This is my paper · ORCID
classification gr-qc
keywords constrainednoetherchargesgravityimmirziparametertheoryaction
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We derive and analyze Noether charges associated with the diffeomorphism invariance for the constrained SO(2,3) BF theory. This result generalizes the Wald approach to the case of the first order gravity with a negative cosmological constant, the Holst modification and topological terms (Nieh-Yan, Euler, and Pontryagin). We show that differentiability of the action is automatically implemented by the the structure of the constrained BF model. Finally, we calculate the AdS--Schwarzschild black hole entropy from the Noether charge and we find that, unexpectedly, it does not depend on the Immirzi parameter.

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Cited by 2 Pith papers

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  1. Chiral higher-spin theories from twistor space

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    Chiral higher-spin Yang-Mills and gravity are reformulated as CR-holomorphic Chern-Simons theories on unit-norm twistor space, with Moyal-deformed noncommutative generalizations.

  2. The first law of black hole thermodynamics for Taub-NUT spacetime

    gr-qc 2019-08 conditional novelty 4.0 of 10

    The NUT parameter n is reinterpreted as producing rotation along Misner strings, giving a modified first law dM = T d(A/4G) + (1/n)d(Mn) - (1/(2n))d(nr+/G) for Lorentzian Taub-NUT spacetime.

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