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On the Canonical Formalism for a Higher-Curvature Gravity

Yasuo Ezawa·Masahiko Kiminami·Masahiro Kajihara·Jiro Soda·Tadasi Yano
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Abstract

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 ${\cal L}=\sqrt{-\det g_{μν}}f(R)$. 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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Yasuo Ezawa, Masahiko Kiminami, Masahiro Kajihara, Jiro Soda, Tadasi Yano. 1998-01-26. On the Canonical Formalism for a Higher-Curvature Gravity. https://doi.org/10.1088/0264-9381%2F16%2F4%2F003

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