SPHERICALLY SYMMETRICAL GRAVITY AS A COMPLETELY INTEGRABLE SYSTEM

Journal article


Publication Details

Author(s): Kastrup H, Thiemann T
Journal: Nuclear Physics B
Publisher: ELSEVIER SCIENCE BV
Publication year: 1994
Volume: 425
Journal issue: 3
Pages range: 665-686
ISSN: 0550-3213


Abstract


It is shown - in Ashtekar's canonical framework of General Relativity - that spherically symmetric (Schwarzschild) gravity in four-dimensional space-time constitutes a finite-dimensional completely integrable system. Canonically conjugate observables for asymptotically flat spacetimes 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 Schrodinger equation depend on the allowed spectrum of the masses.



FAU Authors / FAU Editors

Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


How to cite

APA:
Kastrup, H., & Thiemann, T. (1994). SPHERICALLY SYMMETRICAL GRAVITY AS A COMPLETELY INTEGRABLE SYSTEM. Nuclear Physics B, 425(3), 665-686.

MLA:
Kastrup, Hans, and Thomas Thiemann. "SPHERICALLY SYMMETRICAL GRAVITY AS A COMPLETELY INTEGRABLE SYSTEM." Nuclear Physics B 425.3 (1994): 665-686.

BibTeX: 

Last updated on 2018-08-08 at 05:55