Einstein and Jordan-Frame Covariant Hamiltonians for F(R) Gravity and Their Canonical Relationships

Abstract

This paper is devoted to the analysis of the covariant canonical formalism of $F(R)$ gravity in Einstein frame. We also find canonical transformation between covariant canonical formulation of F(R) gravity in Jordan frame and Einstein frames and we also determine corresponding generating function.

arXiv comment17 pages, reference added

References in corpus (14)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Holography of Gravitational Action Functionals
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Solving higher curvature gravity theories
• Covariant Hamiltonian Field Theory
• The Structure of the Gravitational Action and its relation with Horizon Thermodynamics and Emergent Gravity Paradigm
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• Gravity stabilizes itself
• General U(N) gauge transformations in the realm of covariant Hamiltonian field theory

Cited by in corpus (1)

• Covariant canonical formulations of classical field theories