Constraints and time evolution in generic f(Riemann) gravity


Altas E., TEKİN B.

Journal of Physics A: Mathematical and Theoretical, vol.57, no.38, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 38
  • Publication Date: 2024
  • Doi Number: 10.1088/1751-8121/ad74bc
  • Journal Name: Journal of Physics A: Mathematical and Theoretical
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Keywords: constraints, evolution, generic, gravity
  • Middle East Technical University Affiliated: Yes

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 R2 and R μ ν R μ ν theories as examples.