A Canonical Analysis of the First Order Einstein-Hilbert Action

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The Dirac constraint formalism is applied to the d(d>2) dimensional Einstein-Hilbert action when written in first order form, using the metric density and affine connection as independent fields. Field equations not involving time derivatives are not used to eliminate fields. Primary, secondary and tertiary constraints arise, leaving d(d-3) degrees of freedom in phase space. The Poisson Bracket algebra of these constraints is given.

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General Relativity and Quantum Cosmology, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/142278

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2543
 http://arxiv.org/abs/0711.2543

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arXiv