2019/09/13 by Abdulrahim Al Balushi, Robert B. Mann · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/1361-6382/ab56ec
8 pages, 2 figures
arxiv created 2019/09/13 · arxiv updated 2020/01/08
For many purposes, a three-dimensional foliation of spacetime is more advantageous to understanding its light cone structure. We derive the equations describing such foliations for the Kerr geometry with non-zero cosmological constant, and show that they reduce to null hypersurfaces in vacuum (anti-)de Sitter spacetime in the limit of zero mass. Furthermore, we find that these null hypersurfaces are free of caustics everywhere for r>0. Our construction has applications in numerical studies of rotating black holes, and in defining Kruskal coordinates for rotating black holes with non-zero cosmological constant.