Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-10-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex, 21 pages, PITHA 93-31, August 1993
Scientific paper
There is a gap that has been left open since the formulation of general relativity in terms of Ashtekar's new variables namely the treatment of asymptotically flat field configurations that are general enough to be able to define the generators of the Lorentz subgroup of the asymptotical Poincar\'e group. While such a formulation already exists for the old geometrodynamical variables, up to now only the generators of the translation subgroup could be defined because the function spaces of the fields considered earlier are taken too special. The transcription of the framework from the ADM variables to Ashtekar's variables turns out not to be straightforward due to the freedom to choose the internal SO(3) frame at spatial infinity and due to the fact that the non-trivial reality conditions of the Ashtekar framework reenter the game when imposing suitable boundary conditions on the fields and the Lagrange multipliers.
No associations
LandOfFree
Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-636717