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10–plectic formulation of gravity and Cartan connections

Abstract

We give a Hamiltonian formulation of Weyl–Einstein–Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a 1-form with values in the Poincaré Lie algebra, which is defined on the total space of the orthonormal frame bundle fibered over the space-time. Within the 10-plectic framework we discover that the local equivariance property of the Cartan connection is a consequence of the Hamilton equations.
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Dates and versions

hal-01408289 , version 1 (04-12-2016)
hal-01408289 , version 2 (07-12-2016)

Identifiers

  • HAL Id : hal-01408289 , version 2

Cite

Dimitri Vey. 10–plectic formulation of gravity and Cartan connections. 2016. ⟨hal-01408289v2⟩
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