2017/12/07 by Katharina Radermacher, Radermacher, Katharina
Chemical Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Material Dynamics and Properties #Mathematical Physics (math-ph) #Rheology and Fluid Dynamics Studies #gr-qc #math-ph #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.1712.02699
29 pages, v2: minor typos, layout changes
openalex publication_date 2017/12/07 · arxiv created 2017/12/11 · arxiv updated 2017/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In our previous article [Rad16], we investigated the asymptotic behaviour of orthogonal Bianchi class B perfect fluids close to the initial singularity and proved the Strong Cosmic Censorship conjecture in this setting. In several of the statements, the case of a stiff fluid had to be excluded. The present paper fills this gap. We work in expansion-normalised variables introduced by Hewitt-Wainwright and find that solutions converge, but show a convergence behaviour very different from the non-stiff case: All solutions tend to limit points in the two-dimensional Jacobs set. A set of full measure, which is also a countable intersection of open and dense sets in the state space, yields convergence to a specific subset of the Jacobs set.