“School of Astronomy”

Back to Papers Home
Back to Papers of School of Astronomy

Paper   IPM / Astronomy / 14403
School of Astronomy
  Title:   Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model
1.  Alejandro. Corichi
2.  Asieh. karami
3.  saeed. rastgoo
4.  Tatjana. VukaÅ¡inac
  Status:   Published
  Journal: Class.Quant.Grav
  Vol.:  33
  Year:  2016
  Supported by:  IPM
We consider a class of two-dimensional dilatonic models, and revisit them from the perspective of a new set of ‘polar type’ variables. These are motivated by recently defined variables within the spherically symmetric sector of 4D general relativity. We show that for a large class of dilatonic models, including the case with matter, one can perform a series of canonical transformations in such a way that the Poisson algebra of the constraints becomes a Lie algebra. Furthermore, we construct Dirac observables and a reduced Hamiltonian that accounts for the time evolution of the system

Download TeX format
back to top
scroll left or right