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Intrinsic time in Wheeler–DeWitt conformal superspace

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Abstract

Intrinsic time in geometrodynamics is obtained using a scaled Dirac map**. 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.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, 141980, Russia

    A. E. Pavlov

  2. Institute of Mechanics and Energetics, Russian State Agrarian University, Timiryazevskaya 49, Moscow, 127550, Russia

    A. E. Pavlov

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Pavlov, A.E. Intrinsic time in Wheeler–DeWitt conformal superspace. Gravit. Cosmol. 23, 208–218 (2017). https://doi.org/10.1134/S0202289317030124

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