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arxiv: 1601.03823 · v1 · submitted 2016-01-15 · 🌀 gr-qc

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Intrinsic time geometrodynamics: explicit examples

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classification 🌀 gr-qc
keywords timeintrinsicgeometrodynamicsquantumeinsteinexplicitformalismsolutions
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Intrinsic time quantum geometrodynamics resolved `the problem of time' and bridged the deep divide between quantum mechanics and canonical quantum gravity with a Schrodinger equation which describes evolution in intrinsic time variable. In this formalism, Einstein's general relativity is a particular realization of a wider class of theories. Explicit classical black hole and cosmological solutions and the motion of test particles are derived and analyzed in this work in the context of constant three-curvature solutions in intrinsic time geometrodynamics; and we exemplify how this formalism yields results which agree with the predictions of Einstein's theory.

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