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- W1541873291 abstract "The theorem of Hojman et. al. [1] says that the canonical representation of the generators of the hypersurface deformation algebra on the geometrodynamical phase space (subject to certain conditions) is unique and is the same as Einsteinian geometrodynamics. In the present work we show that, for spherically symmetric spacetimes, the representation is not unique. We construct the most general representation belonging to the class where the spherically symmetric Einstein-Hilbert theory is modified by the presence of $g_{thetatheta}$-dependent factors and demonstrate that this representation is inequivalent to the one obtained from general relativity. In the Lagrangian language this implies that, as far as spherically symmetric spacetimes are concerned, the Einstein-Hilbert Lagrangian is not the only Lagrangian (not involving any higher derivative modifications) leading to a generally covariant theory for the dynamics of spacetime." @default.
- W1541873291 created "2016-06-24" @default.
- W1541873291 creator A5065874125 @default.
- W1541873291 date "2014-03-18" @default.
- W1541873291 modified "2023-09-27" @default.
- W1541873291 title "Non-uniqueness of representation of generators of hypersurface deformations (or of generally covariant Lagrangians) for spherically symmetric spacetimes" @default.
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- W1541873291 hasPublicationYear "2014" @default.
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