2018/09/20 by Jerzy Lewandowski, Adam Szereszewski · 1 citation
Mathematics · Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Einstein equations #General relativity #Geometric Analysis and Curvature Flows #Geometry #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Philosophy #Physics #Surface (topology) #Theoretical physics #Transversal (combinatorics) #Zero (linguistics) #gr-qc
paper · pdf · doi:10.1103/physrevd.100.024049
published as Phys. Rev. D 100, 024049 (2019)
arxiv created 2018/09/20 · openalex created_date 2018/09/27 · openalex publication_date 2019/07/24 · arxiv updated 2019/07/31 · openalex updated_date 2026/08/05
We prove that every solution to vacuum Einstein's equations with possibly nonzero cosmological constant that is foliated by nonexpanding null surfaces transversal to a single nonexpanding null surface belongs to the family of the near (extremal) horizon geometries. Our results are local, and hold in a neighborhood of the single nonexpanding null surface.