Null hypersurfaces in Kerr-(A)dS spacetimes

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-...

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Bibliographic Details
Published in:Classical and quantum gravity 2019-12, Vol.36 (24), p.245017
Main Authors: Al Balushi, Abdulrahim, Mann, Robert B
Format: Article
Language:English
Subjects:
caustics
cosmological constant
Kerr spacetime
null hypersurfaces
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Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab56ec