5 papers
Weyl-type theorems in Galilei and Carroll geometry
Philip K. Schwartz, James Read, Quentin Vigneron
A classic theorem of Weyl (1921) states that a Weyl metric -- a natural generalisation of a pseudo-Riemannian metric -- is uniquely determined by its conformal and projective struc…
Bianchi cosmologies in a Thurston-based theory of gravity
Quentin Vigneron, Hamed Barzegar
The strong interplay between Bianchi--Kantowski--Sachs (BKS) spacetimes and Thurston geometries motivates the exploration of the role of topology in our understanding of gravity. A…
General formalism, classification, and demystification of the current warp-drive spacetimes
Hamed Barzegar, Thomas Buchert, Quentin Vigneron
We critically examine proposals for the so-called warp-drive spacetimes and classify these models based on their various restrictions within the framework of General Relativity. We…
Affine connections for Galilean and Carrollian structures: a unified perspective
Quentin Vigneron, Hamed Barzegar, James Read
We develop a classification of general Carrollian structures, permitting affine connections with both torsion and non-metricity. We compare with a recent classification of general…
A natural model for curved inflation
Quentin Vigneron, Julien Larena
Inflationary models with a non-zero background curvature require additional hypothesis or parameters compared to flat inflation and the procedure to construct them cannot be as sim…