Hamiltonian form of `Carroll' gravity
arXiv:2208.02983 · doi:10.1103/PhysRevD.107.024010
Abstract
We develop a Hamiltonian description of the `Carroll' (Levy Leblond-Sen Gupta) limit of gravity theory in the first-order formalism. Through a constraint analysis, the number of local degrees of freedom are shown to be two in this singular limit. The associated Hamiltonian constraint depends only on the densitized triad fields and their space derivatives. We also provide a scaling prescription within the Hilbert-Palatini theory to obtain the first-order analogue of the `electric' limit of canonical metric gravity. The simplicity of both these limiting Hamiltonian forms in these variables make them interesting candidates for quantization.
arXiv commentVersion published in Phys. Rev. D
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- Post-Carrollian Mechanics, Ideal Gas, and Gravity
- Canonical Gravity in Degenerate Limit
- Degenerate Limits of Scalar-Tensor Gravity