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

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.

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

References in corpus (9)

• Hamiltonian formulation of f(Riemann) theories of gravity
• Killing Initial Data
• Energy and Angular Momentum in Generic F(Riemann) Theories
• Particle Content of Quadratic and $f(R_{\mu \nu \sigma \rho })$ Theories in $(A)dS$
• A new geometric invariant on initial data for Einstein equations
• Non-stationary Energy in General Relativity
• Dain's invariant on non-time symmetric initial data sets
• Dain's invariant for black hole initial data
• Non-stationary Energy of Perfect Fluid Sources in General Relativity

Cited by in corpus (1)

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