The BKL Conjectures for Spatially Homogeneous Spacetimes

2010/05/26 by Michael Reiterer, Reiterer, Michael, Eugene Trubowitz +1 · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1005.4908

openalex publication_date 2010/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We rigorously construct and control a generic class of spatially homogeneous (Bianchi VIII and Bianchi IX) vacuum spacetimes that exhibit the oscillatory BKL phenomenology. We investigate the causal structure of these spacetimes and show that there is a "particle horizon".

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• Semiglobal non-oscillatory big bang singular spacetimes for the Einstein-scalar field system
• Construction of oscillatory singularities
• BKL conjecture in Bianchi VIII and IX with the ultrarelativistic fluid

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