Integrable Systems and Spacetime Dynamics
High Energy Physics - Theory
2021-10-15 v3 General Relativity and Quantum Cosmology
Exactly Solvable and Integrable Systems
Abstract
It is shown that the Ablowitz-Kaup-Newell-Segur (AKNS) integrable hierarchy can be obtained as the dynamical equations of three-dimensional General Relativity with a negative cosmological constant. This geometrization of the AKNS system is possible through the construction of novel boundary conditions for the gravitational field. These are invariant under an asymptotic symmetry group characterized by an infinite set of AKNS commuting conserved charges. Gravitational configurations are studied by means of conjugacy classes. Conical singularities and black hole solutions are included in the boundary conditions.
Keywords
Cite
@article{arxiv.2104.09676,
title = {Integrable Systems and Spacetime Dynamics},
author = {Marcela Cárdenas and Francisco Correa and Kristiansen Lara and Miguel Pino},
journal= {arXiv preprint arXiv:2104.09676},
year = {2021}
}
Comments
5 pages. Replacement matches with published version