Dirac Geometric Approach for the Unimodular Holst Action Articles uri icon

publication date

  • March 2024

start page

  • 1

end page

  • 10

issue

  • 6, 890

volume

  • 12

International Standard Serial Number (ISSN)

  • 2227-7390

abstract

  • We perform a Hamiltonian analysis of unimodular gravity in its first-order formulation, specifically a modification of the Holst action. In order to simplify the analysis, prior studies on this theory have introduced (for several reasons) additional elements, such as parametrization, complex fields, or considering the Barbero-Immirzi parameter as imaginary. We show that, by using a geometric implementation of the Dirac algorithm, a comprehensive analysis of the theory can be conducted without relying on these additional ingredients. The resulting theory reproduces the behavior of metric unimodular gravity.

subjects

  • Mathematics

keywords

  • unimodular gravity; holst action; geometric dirac algorithm; hamiltonian formulation