A New Perspective on Covariant Canonical Gravity

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dc.creatorRandono, Andrew
dc.date2008-05-20
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:14:33Z
dc.date.available2026-07-07T12:14:33Z
dc.descriptionWe present a new approach to the covariant canonical formulation of Einstein-Cartan gravity that preserves the full Lorentz group as the local gauge group. The method exploits lessons learned from gravity in 2+1 dimensions regarding the relation between gravity and a general gauge theory. The dynamical variables are simply the frame field and the spin-connection pulled-back to the hypersurface, thereby eliminating the need for simplicity constraints on the momenta. A consequence of this is a degenerate (pre)symplectic form, which appears to be a necessary feature of the Einstein-Cartan formulation. A new feature unique to this approach arises when the constraint algebra is computed: the algebra is a deformation of the de Sitter, anti-de Sitter, or Poincaré algebra (depending on the value of the cosmological constant) with the deformation parameter being the conformal Weyl tensor.
dc.descriptionVersion Published in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0805.3169
dc.identifierhttp://arxiv.org/abs/0805.3169
dc.identifierClass.Quant.Grav.25:235017,2008
dc.identifierdoi:10.1088/0264-9381/25/23/235017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211229
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleA New Perspective on Covariant Canonical Gravity
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