On the Canonical Formalism for a Higher-Curvature Gravity

Abstract

Following the method of Buchbinder and Lyahovich, we carry out a canonical formalism for a higher-curvature gravity in which the Lagrangian density $\mathcal{L}$ is given in terms of a function of the salar curvature $R$ as $\mathcal{L}=\sqrt{-\det g_{\mu \nu }}f(R)$. The local Hamiltonian is obtained by a canonical transformation which interchanges a pair of the generalized coordinate and its canonical momentum coming from the higher derivative of the metric.

11 pages, no figures, Latex file

References in corpus (1)

• On Physical Equivalence between Nonlinear Gravity Theories

Cited by in corpus (9)

• f(R) theories
• Polarizations of gravitational waves in $f(R)$ gravity
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom
• Canonical Analysis of Brans-Dicke Theory Addresses Hamiltonian Inequivalence between Jordan and Einstein Frames
• Hamiltonian Analysis of Lagrange Multiplier Modified Gravity
• Jordan and Einstein Frames from the perspective of $\omega =-3/2$ Hamiltonian Brans-Dicke theory