Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-07-14
Class.Quant.Grav. 23 (2006) 3205-3214
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, no figure
Scientific paper
10.1088/0264-9381/23/9/028
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.
Ezawa Yoshinori
Iwasaki H.
Ohkuwa Yoshiaki
Watanabe Shin
Yamada Namiha
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