Intrinsic time in Wheeler–DeWitt conformal superspace

Intrinsic time in Wheeler–DeWitt conformal superspace Intrinsic time in geometrodynamics is obtained using a scaled Dirac mapping. By addition of a background metric, one can construct a scalar field which is suitable for the role of intrinsic time. The Cauchy problem was successfully solved in conformal variables because they are physical. Intrinsic time as a logarithm of the spatial metric determinant was first applied to a cosmological problem byMisner. Global time exists under the condition of a constant mean curvature slicing of spacetime. A coordinate volume of a hypersurface and the so-called York’s mean time are a canonical conjugated pair. So, the volume is intrinsic global time by its sense. The experimentally observed redshift in cosmology is an evidence of its existence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Gravitation and Cosmology Springer Journals

Intrinsic time in Wheeler–DeWitt conformal superspace

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Publisher
Pleiades Publishing
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Physics; Classical and Quantum Gravitation, Relativity Theory; Astronomy, Observations and Techniques; Astrophysics and Astroparticles; Quantum Physics
ISSN
0202-2893
eISSN
1995-0721
D.O.I.
10.1134/S0202289317030124
Publisher site
See Article on Publisher Site

Abstract

Intrinsic time in geometrodynamics is obtained using a scaled Dirac mapping. By addition of a background metric, one can construct a scalar field which is suitable for the role of intrinsic time. The Cauchy problem was successfully solved in conformal variables because they are physical. Intrinsic time as a logarithm of the spatial metric determinant was first applied to a cosmological problem byMisner. Global time exists under the condition of a constant mean curvature slicing of spacetime. A coordinate volume of a hypersurface and the so-called York’s mean time are a canonical conjugated pair. So, the volume is intrinsic global time by its sense. The experimentally observed redshift in cosmology is an evidence of its existence.

Journal

Gravitation and CosmologySpringer Journals

Published: Aug 24, 2017

References

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