A canonical formalism of f(T)-type gravity in terms of Lie derivatives

Abstract

A canonical formalism of f(R)-type gravity is proposed, resolving the problem in the formalism of Buchbinder and Lyakhovich(BL). The new coordinates corresponding to the time derivatives of the metric are taken to be its Lie derivatives which is the same as in BL. The momenta canonically conjugate to them and Hamiltonian density are defined similarly to the formalism of Ostrogradski. It is shown that our method surely resolves the problem of BL.

11 pages, no figure

References in corpus (3)

• The Cosmology of Generalized Modified Gravity Models
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Accelerated Cosmological Models in Ricci squared Gravity

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• Third quantization of $f(R)$-type gravity II - General $f(R)$ case -
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