Kastrup H, Thiemann T (1994)
Publication Status: Published
Publication Type: Journal article
Publication year: 1994
Publisher: ELSEVIER SCIENCE BV
Book Volume: 425
Pages Range: 665-686
Journal Issue: 3
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.
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.
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