Dynamical time and Ashtekar variables for the Husain-Kucha¿ model Articles uri icon

publication date

  • December 2024

start page

  • 1

end page

  • 30

volume

  • 110

International Standard Serial Number (ISSN)

  • 2470-0010

Electronic International Standard Serial Number (EISSN)

  • 2470-0029

abstract

  • The relation between the Husain-Kuchař model and some extensions thereof that incorporate a dynamical time variable is explored. To this end, we rely on the geometric approach to the Hamiltonian dynamics of singular (constrained) systems provided by the Gotay-Nester-Hinds method. We also use recent results regarding the derivation of the Ashtekar formulation for Euclidean general relativity without using the time gauge. The insights provided by the geometric approach followed in the paper shed light on several issues related to the dynamics of general relativity and the role of time.

subjects

  • Mathematics
  • Physics

keywords

  • ashtekar variables; hamiltonian dynamics; general relativity; alternative gravity theories