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We discuss three different (conformally) Carrollian geometries and their relation to null
infinity from the unifying perspective of Cartan geometry. Null infinity per se comes with …

We present a generalization of the embedding space formalism to conformal field theories
(CFTs) on nontrivial states and curved backgrounds, based on the ambient metric of …

There is significant recent work on coupling matter to Newton-Cartan spacetimes with the
aim of investigating certain condensed matter phenomena. To this end, one needs to have a …

We show that the boundary of a projectively compact Einstein manifold of dimension n can
be extended by a line bundle naturally constructed from the projective compactification. This …

In this article, we propose a new geometrization of the radiative phase space of
asymptotically flat space-times: we show that the geometry induced on null-infinity by the …

In a recent work it was shown that conformal Carroll geometries are canonically equipped
with a null-tractor bundle generalizing the tractor bundle of conformal geometry. We here …

We develop the mathematics needed to treat the interaction of geometry and stress at any
isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial …

A bstract In this note, we consider how the bundle geometry of field space interplays with the
covariant phase space methods so as to allow to write results of some generality on the …

We develop a universal distributional calculus for regulated volumes of metrics that are
suitably singular along hypersurfaces. When the hypersurface is a conformal infinity we give …