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Margulis spacetimes are complete affine 3-manifolds that were introduced toshow that the cocompactness condition of Auslander's conjecture is necessary.There are Lorentzian manifolds that are obtained as a quotient of the threedimensional Minkowski space by a non-abelian free group acting properlydiscontinuously by affine isometries. Goldman-Labourie-Margulis showed thatsuch a group is determined by a complete hyperbolic metric on a possiblynon-orientable finite-type hyperbolic surface together with an infinitesimaldeformation of this metric that uniformly lengthens all non-trivial closedcurves on the surface. Furthermore, the set of all such infinitesimaldeformations forms an open convex cone. Danciger Gu\'eritaud-Kasselparametrised the moduli space of Margulis spacetimes, with a fixed convexcocompact linear part, using the pruned arc complex. The parametrisation isdone by gluing infinitesimal hyperbolic strips along a family of embedded,pairwise disjoint arcs of the hyperbolic surface that decompose it intotopological disks. We generalise this result to complete finite-area hyperbolicsurfaces with spikes decorated with horoballs. These are closely related toMargulis spacetimes decorated with finitely many pairwise disjoint affinelight-like lines, called photons.

Parametrisation of decorated Margulis spacetimes using strip deformations