Hamiltonian Formulation of f(Riemann) Theories of Gravity

N. Deruelle (1) , M. Sasaki (2) , Y. Sendouda (2) , D. Yamauchi (2)

1 APC - THEORIE
2 YITP - Yukawa Institute for Theoretical Physics [Kyoto]

We present a canonical formulation of gravity theories whose Lagrangian is an arbitrary function of the Riemann tensor, which, for example, arises in the low-energy limit of superstring theories. Our approach allows a unified treatment of various subcases and an easy identification of the degrees of freedom of the theory.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

N. Deruelle, M. Sasaki, Y. Sendouda, D. Yamauchi. Hamiltonian Formulation of f(Riemann) Theories of Gravity. Progress of Theoretical Physics, 2010, 123, pp.169-185. ⟨hal-00740748⟩