Abstract
AbstractThe transformations x−α = x−α(xβ, gμn̈) in the function space of the gμn̈(xλ) are corresponding to the coordinate transformations xα = xα(xβ) with some non‐covariant conditions on the gμn̈(xλ). Therefore, the transformations in the function space are corresponding to subgroups of the EINSTEIN group. The conditions for the gμn̈ may be given in the space‐ time V4 or on submanifolds (points, curves, surfaces and hypersurfaces) of the V4. – A special case of the last problem is given by the CAUCHY conditions or by the DIRAC constraints for a special choice of the coordinates on a CAUCHY hypersurface x0 = 0. Then, the transformations x−α = x−α(xl, grs, pmn) in the phase space are EINSTEIN transformations preserving the synchronicity for x0 → 0.
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