43 citations · 74 across the 5 of their papers we have counts for
5 papers
From pp-Waves to Galilean Spacetimes
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
We exhibit all spatially isotropic homogeneous Galilean spacetimes of dimension , including the novel torsional ones, as null reductions of homogeneous pp-wave spacet…
Lifshitz symmetry: Lie algebras, spacetimes and particles
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits ("particles") of Lie groups generated by spatial rotations, temporal and spatial translations and an…
Generalised Bargmann Superalgebras
Ross Grassie
The Bargmann algebra and centrally-extended Newton-Hooke algebras describe the non-relativistic symmetries of massive particles in flat and curved spacetimes, respectively. These t…
Kinematical superspaces
José Figueroa-O'Farrill, Ross Grassie
We classify kinematical and aristotelian Lie superalgebras with spatial isotropy, but not necessarily parity nor time-reversal invariance. Employing a quaternionic fo…
Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
Simply-connected homogeneous spacetimes for kinematical and aristotelian Lie algebras (with space isotropy) have recently been classified in all dimensions. In this paper, we conti…