Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/12486
Title: Issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity
Author: Pons Ràfols, Josep Maria
Salisbury, D. C.
Keywords: General relativity (Physics)
Gravitació
Relativitat general (Física)
Gravitation
Issue Date: 2005
Publisher: The American Physical Society
Abstract: Diffeomorphism-induced symmetry transformations and time evolution are distinct operations in generally covariant theories formulated in phase space. Time is not frozen. Diffeomorphism invariants are consequently not necessarily constants of the motion. Time-dependent invariants arise through the choice of an intrinsic time, or equivalently through the imposition of time-dependent gauge fixation conditions. One example of such a time-dependent gauge fixing is the Komar-Bergmann use of Weyl curvature scalars in general relativity. An analogous gauge fixing is also imposed for the relativistic free particle and the resulting complete set time-dependent invariants for this exactly solvable model are displayed. In contrast with the free particle case, we show that gauge invariants that are simultaneously constants of motion cannot exist in general relativity. They vary with intrinsic time.
Note: Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.71.124012
It is part of: Physical Review D, 2005, vol. 71, núm. 12, p. 124012-1-124012-16
URI: http://hdl.handle.net/2445/12486
ISSN: 0556-2821
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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