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2005

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12486

Issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity

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http://dx.doi.org/10.1103/PhysRevD.71.124012

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.

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General relativity (Physics), Gravitació

Subject (English)

Relativitat general (Física), Gravitation

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

PONS RÀFOLS, Josep Maria and SALISBURY, D. C. Issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity. Physical Review D. 2005. Vol. 71, num. 12, pags. 124012-1-124012-16. ISSN 0556-2821. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/12486

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