On the Canonical Formalism for a Higher-Curvature Gravity

Details On the Canonical Formalism for a Higher-Curvature Gravity On the Canonical Formalism for a Higher-Curvature Gravity

1998-01-26

arxiv.org/abs/gr-qc/9801084v1

Class.Quant.Grav. 16 (1999) 1127-1135

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, Latex file

Scientific paper

10.1088/0264-9381/16/4/003

Following the method of Buchbinder and Lyahovich, we carry out a canonical formalism for a higher-curvature gravity in which the Lagrangian density ${\cal L}$ is given in terms of a function of the salar curvature $R$ as ${\cal L}=\sqrt{-\det g_{\mu\nu}}f(R)$. 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.

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