abstract

• The polysymplectic formulation of the CMPR action, which is a BF-type formulation of general relativity that involves an arbitrary Immirzi parameter, is performed. We implement a particular scheme within this covariant Hamiltonian approach to analyze the constraints that characterize the CMPR model. By means of the privileged (n - 1)-forms and the Poisson-Gerstenhaber bracket, inherent to the polysymplectic framework, the BF field equations associated to the CMPR action are obtained and, in consequence, the Einstein equations naturally emerge by solving the simplicity constraints of the theory. Further, from the polysymplectic analysis of the CMPR action the De Donder-Weyl Hamiltonian formulation of the Holst action is recovered, which is consistent with the Lagrangian analysis of this model as reported in the literature. © 2019 IOP Publishing Ltd.

authors

• Berra Montiel Oscar Jasel
• Molgado Ramos Alberto
• Rodriguez-López A.

publication date

• 2019-01-01

published in

• Classical and Quantum Gravity  Journal

keywords

• BF gravity; De Donder-Weyl theory; Einstein equations; Immirzi parameter; Poisson-Gerstenhaber bracket; polysymplectic formalism

Digital Object Identifier (DOI)

• 10.1088/1361-6382/ab1365

start page

end page

volume

• 36

issue

• 11