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• W3105280953 abstract "In this note we perform the $n+1$ decomposition, or Arnowitt Deser Misner (ADM) formulation of $f($Lovelock$)$ gravity theory. The hamiltonian form of Lovelock gravity was known since the work of C. Teitelboim and J. Zanelli in 1987, but this result had not yet been extended to $f($Lovelock$)$ gravity. Besides, field equations of $f($Lovelock$)$ have been recently be computed by P. Bueno et al., though without ADM decomposition. We focus on the non-degenerate case, ie. when the Hessian of $f$ is invertible. Using the same Legendre transform as for $f(mathrm{R})$ theories, we can identify the partial derivatives of $f$ as scalar fields, and consider the theory as a generalised scalar-tensor theory. We then derive the field equations, and project them along a $n+1$ decomposition. We obtain an original system of constraint equations for $f($Lovelock$)$ gravity, as well as dynamical equations. We give explicit formulas for the $f(mathrm{R},$ Gauss-Bonnet$)$ case." @default.
• W3105280953 created "2020-11-23" @default.
• W3105280953 creator A5028994433 @default.
• W3105280953 date "2018-05-02" @default.
• W3105280953 modified "2023-10-06" @default.
• W3105280953 title "<i>n</i> + 1 formalism of <i>f</i> (Lovelock) gravity" @default.
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• W3105280953 doi "https://doi.org/10.1088/1361-6382/aabcb5" @default.
• W3105280953 hasPublicationYear "2018" @default.
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