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Constraints and Time Evolution in Generic $f$(Riemann) Gravity

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arxiv 2405.12037 v3 pith:CNVRWYQB submitted 2024-05-20 gr-qc astro-ph.COhep-thmath-phmath.MP

classification gr-qcastro-ph.COhep-thmath-phmath.MP
keywords givegravityriemannamenableanalysiscanonicalconstraintscorrecting
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abstract

We give a detailed canonical analysis of the $n$-dimensional $f$(Riemann) gravity, correcting the earlier results in the literature. We also write the field equations in the Fischer-Marsden form which is amenable to identifying the non-stationary energy on a spacelike hypersurface. We give pure $R^{2}$ and $R_{\mu\nu}R^{\mu\nu}$ theories as examples.

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Cited by 1 Pith paper

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  1. Preface to Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser

    hep-th 2025-09 unverdicted

    An editorial preface, not a research paper: it tributes Stanley Deser and catalogues the special issue's contributed articles in four thematic areas.

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