BKL conjecture in Bianchi VIII and IX with the ultrarelativistic fluid

2014/03/11 by Raisa Galimova, Galimova, Raisa
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #gr-qc #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1403.2767

60 pages. arXiv admin note: text overlap with arXiv:1005.4908 by other authors

arxiv created 2014/03/11 · openalex publication_date 2014/03/11 · arxiv updated 2014/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We rigorously verify that in the spatially homogeneous spacetimes (Bianchi VIII and IX), the presence of matter does not affect the oscillatory behavior of the solutions to the Einstein field equations as first conjectured by Belinski, Khalatnikov, and Lifshitz (BKL) in 1970. This paper is an extension of the paper by Reiterer and Trubowitz (arXiv 1005.4908) and uses the same formalism. We use the ultrarelativistic equation of state.

Citations

• The BKL Conjectures for Spatially Homogeneous Spacetimes

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