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Intrinsic Time in WDW Conformal Superspace
Pavlov A.E.1, Pervushin V.N.2
1 Institute of Mechanics and Energetics, Russian State Agrarian University, Moscow, Russia;
2 Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
E-mail: Pavlov alexpavlov60@mail.ru
In General Relativity there are both York's extrinsic time, constructed of the extrinsic curvature tensor and Misner's intrinsic time, built of the spatial metric tensor. In our paper, to extract the intrinsic time, we generalize the Dirac's mapping of transition to conformal variables. As far as the conformal time is a physical observable as coordinate distance, so the intrinsic time is also a physical magnitude. The choice of the intrinsic time leads inevitably to the Conformal gravitation, where conformal metric is postulated to be a metric of physical space. York's conformal transverse-traceless method of Cauchy problem solution in General Relativity looks quite natural in conformal variables. In Friedmann cosmology, the many-fingered intrinsic time in General Relativity has a sense of a global time of the Universe.
Keywords: Misner’s intrinsic time, York’s extrinsic time, Dirac’s conformal variables, many-fingered time, Conformal gravitation.
DOI: 10.18698/2309-7604-2015-1-400-408
Article file: Pavlov.pdf
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