2016/01/31 by Jörg Hennig · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cauchy distribution #Cosmology and Gravitation Theories #Curvature #Exact solutions in general relativity #Field (mathematics) #Generalization #Noncommutative and Quantum Gravity Theories #Null (SQL) #Singularity #Soliton #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/33/13/135005
published in Classical and Quantum Gravity 33(13), 135005 (IOP Publishing) · 25 pages, 2 figures
openalex publication_date 2016/06/01 · arxiv created 2016/06/02 · arxiv updated 2016/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct a 4-parameter family of inhomogeneous cosmological models, which contains two recently derived 3-parameter families as special cases. The corresponding exact vacuum solution to Einstein's field equations is obtained with methods from soliton theory. We also study properties of these models and find that they combine all interesting features of both earlier solution families: general regularity within the maximal globally hyperbolic region, particular singular cases in which a curvature singularity with a directional behaviour forms, a highly non-trivial causal structure, and Cauchy horizons whose null generators can have both closed or non-closed orbits. In the second part of the paper, we discuss the generalization from vacuum to electrovacuum. Moreover, we also present a family of exact solutions for that case and study its properties.