Constant Mean Curvature Foliations of 3-Dimensional Twisted Product Spacetimes

2013/12/31 by Alexander Dirmeier, Dirmeier, Alexander
Mathematics · Physics and Astronomy · #53A10 #53B30 #53C12 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #gr-qc #math.DG #msc:53A10 #msc:53B30 #msc:53C12

paper · pdf · doi:10.48550/arxiv.1401.0143

arxiv created 2013/12/31 · openalex publication_date 2013/12/31 · arxiv updated 2014/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For 2+1 spacetime dimensions, we derive sufficient conditions for the twisting function in a twisted product spacetime, such that there is a global foliation by spacelike CMC surfaces.

Citations

• Twisted products in pseudo-Riemannian geometry

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