Constraints and time evolution in generic f(Riemann) gravity
Journal of Physics A: Mathematical and Theoretical, vol.57, no.38, 2024 (SCI-Expanded, Scopus)
- 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.