313 citations · 679 across the 35 of their papers we have counts for
35 papers
The geodesic flow of the BGPP metric is Liouville integrable
Andrzej J. Maciejewski, Maria Przybylska, Galliano Valent
We prove that the geodesics equations corresponding to the BGPP metric are integrable in the Liouville sense. The symmetry of the model allows to reduce…
Koenigs Theorem and Superintegrable Liouville Metrics
Galliano Valent
In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their…
Axial Bianchi IX and its Lema{î}tre-Hubble diagram
Galliano Valent, André Tilquin, Thomas Schücker
We compute the Lema{î}tre-Hubble diagram for axial Bianchi IX universes with comoving dust. We motivate our choice by defining a {\it minimal} symmetry breaking of the cosmological…
Superintegrable geodesic flows on the hyperbolic plane
Galliano Valent
In the framework laid down by Matveev and Shevchishin, superintegrability is achieved with one integral linear in the momenta (a Killing vector) and two extra integrals of of any d…
Global structure and geodesics for Koenigs superintegrable systems
Galliano Valent
Starting from the framework defined by Matveev and Shevchishin we derive the local and the global structure for the four types of super-integrable Koenigs metrics. These dynamical…
Bianchi I meets the Hubble diagram
Thomas Schucker, André Tilquin, Galliano Valent
We improve existing fits of the Bianchi I metric to the Hubble diagram of supernovae and find an intriguing yet non-significant signal for anisotropy that should be verified or fal…