Integrable Systems and Spacetime Dynamics

Marcela Cárdenas; Francisco Correa; Kristiansen Lara; Miguel Pino

doi:10.1103/PhysRevLett.127.161601

Integrable Systems and Spacetime Dynamics

Marcela Cárdenas, Francisco Correa, Kristiansen Lara, Miguel Pino

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

6 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	161601
Publicación	Physical Review Letters
Volumen	127
N.º	16
DOI	https://doi.org/10.1103/PhysRevLett.127.161601
Estado	Publicada - 2021
Publicado de forma externa	Sí

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© 2021 Published by the American Physical Society

Áreas temáticas de ASJC Scopus

Física y Astronomía General

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AU - Cárdenas, Marcela

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AU - Lara, Kristiansen

AU - Pino, Miguel

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AB - 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.

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Integrable Systems and Spacetime Dynamics

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