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

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	161601
Journal	Physical Review Letters
Volume	127
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.127.161601
State	Published - 2021
Externally published	Yes

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© 2021 Published by the American Physical Society

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.127.161601

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N2 - 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.

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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