Work

Self-dual metrics with maximally superintegrable geodesic flows

Year: 2015

Type: article

Abstract: A class of self-dual and geodesically complete spacetimes with maximally superintegrable geodesic flows is constructed by applying the Eisenhart lift to mechanics in pseudo-Euclidean spacetime of signature (1,1). It is characterized by the presence of a second-rank Killing tensor. Spacetimes of the ultrahyperbolic signature $(2,q)$ with $q>2$, which admit a second-rank Killing tensor and possess superintegrable geodesic flows, are built.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.91.104020

Authors: Sergei Filyukov, Anton Galajinsky

Institution: Tomsk Polytechnic University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Russian Foundation for Basic Research, Dynasty Foundation

Award: G5611846587