Spherically Symmetric Gravity as a Completely Integrable System

Details Spherically Symmetric Gravity as a Completely Integrable System Spherically Symmetric Gravity as a Completely Integrable System

1994-01-27

arxiv.org/abs/gr-qc/9401032v1

Nucl.Phys.B425:665-686,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20.p., Latex, PITHA 93-35

Scientific paper

10.1016/0550-3213(94)90293-3

It is shown - in Ashtekar's canonical framework of General Relativity - that spherically symmetric (Schwarzschild) gravity in 4 dimensional space-time constitutes a finite dimensional completely integrable system. Canonically conjugate observables for asymptotically flat space-times are masses as action variables and - surprisingly - time variables as angle variables, each of which is associated with an asymptotic "end" of the Cauchy surfaces. The emergence of the time observable is a consequence of the Hamiltonian formulation and its subtleties concerning the slicing of space and time and is not in contradiction to Birkhoff's theorem. The results are of interest as to the concept of time in General Relativity. They can be formulated within the ADM formalism, too. Quantization of the system and the associated Schr\"odinger equation depend on the allowed spectrum of the masses.

Affiliated with

Also associated with

No associations

Rating

Spherically Symmetric Gravity as a Completely Integrable System 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 Spherically Symmetric Gravity as a Completely Integrable System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spherically Symmetric Gravity as a Completely Integrable System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289102