Singularity scattering laws for bouncing cosmologies: a brief overview
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Publication:6370339
DOI10.1007/978-3-031-05379-5_13arXiv2106.07958MaRDI QIDQ6370339
Publication date: 15 June 2021
Abstract: For contracting/expanding bouncing cosmologies, the formulation of junction conditions at a bouncing was recently revisited by the author in collaboration with B. Le Floch and G. Veneziano. The regime of interest here is the so-called quiescent regime, in which a monotone behavior of the metric is observed and asymptotic expansions can be derived. Here, we overview our new methodology based on the notion of {sl singularity scattering maps} and {sl cyclic spacetimes}, and we present our main conclusions. In particular, we provide a classification of all allowed bouncing junction conditions, including three universal laws.
Relativistic cosmology (83F05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Complex surface and hypersurface singularities (32S25) Weak solutions to PDEs (35D30)
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