Canonical analysis of Holst action without second-class constraints
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DOI: 10.1103/physrevd.101.084003
Abstract: We perform the canonical analysis of the Holst action for general relativity with a cosmological constant without introducing second-class constraints. Our approach consists in identifying the dynamical and nondynamical parts of the involved variables from… read more here.
Keywords: analysis holst; second class; class constraints; class ... See more keywords
Revisiting the solution of the second-class constraints of the Holst action
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DOI: 10.1103/physrevd.99.064029
Abstract: In this paper we revisit the nonmanifestly Lorentz-covariant canonical analysis of the Holst action with a cosmological constant. We take a viewpoint close to that of F. Cianfrani and G. Montani [Phys. Rev. Lett. 102,… read more here.
Keywords: class constraints; second class; holst action; solution second ... See more keywords
Introduction to Loop Quantum Gravity. The Holst's action and the covariant formalism
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DOI: 10.1142/s0219887824400164
Abstract: We review Holst formalism and we discuss dynamical equivalence with standard GR (in dimension 4). Holst formalism is written for a spin coframe field $e^I_\mu$ and a $Spin(3,1)$-connection $\omega^{IJ}_\mu$ on spacetime $M$ and it depends… read more here.
Keywords: connection; holst action; spin connection; formalism ... See more keywords