English

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

General Relativity and Quantum Cosmology 2024-09-10 v3 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We give a detailed canonical analysis of the nn-dimensional ff(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 R2R^{2} and RμνRμνR_{\mu\nu}R^{\mu\nu} theories as examples.

Keywords

Cite

@article{arxiv.2405.12037,
  title  = {Constraints and Time Evolution in Generic $f$(Riemann) Gravity},
  author = {Emel Altas and Bayram Tekin},
  journal= {arXiv preprint arXiv:2405.12037},
  year   = {2024}
}

Comments

34 pages, matches the published version, dedicated to S.Deser

R2 v1 2026-06-28T16:33:06.828Z