4D Palatini-Cartan Gravity in Hamiltonian Form
Giovanni Canepa, Alberto S. Cattaneo
TL;DR
This paper derives the Hamiltonian formulation of 4D Palatini-Cartan gravity by eliminating an auxiliary connection field, providing insights into its canonical structure.
Contribution
It presents a novel Hamiltonian formulation of 4D Palatini-Cartan gravity through auxiliary field elimination, enhancing understanding of its canonical dynamics.
Findings
Hamiltonian formulation of 4D Palatini-Cartan gravity derived
Auxiliary connection field eliminated to simplify the formalism
Provides groundwork for quantization approaches
Abstract
In this note the Hamiltonian formulation of four-dimensional gravity, in the Palatini-Cartan formalism, is recovered by elimination of an auxiliary field appearing as part of the connection.
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