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Simpler Hamiltonian structure of Gravity in degenerate limit (2310.00866v3)
Published 2 Oct 2023 in gr-qc and hep-th
Abstract: We analyze Hamiltonian gravity in the limit of a vanishing (spatial) triad determinant. In the context of Barbero-Immirzi formulation, the Lorentzian constraints in this limit are found to exhibit a formal similarity to the Euclidean constraints of Ashtekar's self-dual formulation, modulo the difference that the spatial diffeomorphisms become trivial. Further, we show that the Carrollian limit of gravity emerges as a special case, thus providing it a geometric interpretation independent of either the speed of light or coupling constants.
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