Abstract
The Hořava–Lifshitz mixmaster cosmological model near the cosmological singularity is presented as a generalized Euclidean Toda chain. Restricting to dominant vectors of the spectrum, we get a truncated model that qualitatively well describes the mixmaster model. The truncated model is associated with an affine Kac–Moody Lie algebra \(A_{2}^{+}\). According to the Adler–van Moerbeke criterion, the truncated Hamiltonian system is algebraically completely integrable.
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ACKNOWLEDGMENTS
We are grateful to participants of 6th International Winter School—Seminar on Gravity, Cosmology, and Astrophysics “Petrov School” for fruitful discussion.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Pavlov, A.E., Gaidar, S.M. Birkhoff Integrability of Truncated Hořava–Lifshitz Mixmaster Model near the Cosmological Singularity. Gravit. Cosmol. 30, 189–196 (2024). https://doi.org/10.1134/S0202289324700087
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DOI: https://doi.org/10.1134/S0202289324700087