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arXiv · 2601.05409

10-plectic formulation of gravity and Cartan connections

Dimitri Vey
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Abstract

We give a Hamiltonian formulation of %the first order 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 Poincar\'{e} 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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Dimitri Vey. 2026-01-08. 10-plectic formulation of gravity and Cartan connections. https://arxiv.org/abs/2601.05409

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