Integrable systems with BMS3 Poisson structure and the dynamics of locally flat spacetimes
Oscar Fuentealba (Centro de Estudios Científicos (CECs), Av. Arturo Prat 514, Valdivia, Chile); Javier Matulich (Centro de Estudios Científicos (CECs), Av. Arturo Prat 514, Valdivia, Chile, Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine CP231, Brussels, 1050, Belgium); Alfredo Pérez (Centro de Estudios Científicos (CECs), Av. Arturo Prat 514, Valdivia, Chile); Miguel Pino (Departamento de Física, Universidad de Santiago de Chile, Avenida Ecuador 3493, Estación Central, Santiago, 9170124, Chile); Pablo Rodríguez (Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile, Centro de Estudios Científicos (CECs), Av. Arturo Prat 514, Valdivia, Chile); et al - Show all 7 authors
We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions.