Classification of Kerr-de Sitter-like spacetimes with conformally flat Scri

Author(s)
Marc Mars, Tim Torben Paetz, José M.M. Senovilla
Abstract

We provide a classification of Lambda > 0-vacuum spacetimes which admit a Killing vector field with respect to which the associated 'Mars-Simon tensor' (MST) vanishes and have a conformally flat I- (or I+). To that end, we also give a complete classification of conformal Killing vector fields on the 3-sphere S-3 up to Mobius transformations shedding light on the two fundamental constants that characterize the family of Kerr-de Sitter-like spacetimes, which turn out to be well-defined geometrical invariants. The topology of I is determined in every case, and a characterization result at I of the Kerr-de Sitter family presented.

Organisation(s)
Gravitational Physics
External organisation(s)
Universidad de Salamanca, University of the Basque Country
Journal
Classical and Quantum Gravity
Volume
34
No. of pages
58
ISSN
0264-9381
DOI
https://doi.org/10.1088/1361-6382/aa5dc2
Publication date
04-2017
Peer reviewed
Yes
Austrian Fields of Science 2012
103028 Theory of relativity, 103019 Mathematical physics
Keywords
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Portal url
https://ucrisportal.univie.ac.at/en/publications/classification-of-kerrde-sitterlike-spacetimes-with-conformally-flat-scri(dcbfb081-c640-4a81-b4c1-aa19337fd349).html