Abstract
The reduced vacuum Hamiltonian equations of conformal geometrodynamics of compact manifolds in extrinsic time are written. This is achieved by generalizing the theorem of implicit function derivative to the functional analysis. Under the assumption that constant curvature slicing takes place, York’s field time becomes the global time.
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Pavlov, A.E. Hamiltonian Equations of Reduced Conformal Geometrodynamics in Extrinsic Time. Gravit. Cosmol. 26, 208–211 (2020). https://doi.org/10.1134/S0202289320030111
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DOI: https://doi.org/10.1134/S0202289320030111