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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.
Original language | English |
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Article number | 095010 |
Number of pages | 58 |
Journal | Classical and Quantum Gravity |
Volume | 34 |
Issue number | 9 |
DOIs | |
Publication status | Published - 5 Apr 2017 |
Austrian Fields of Science 2012
- 103028 Theory of relativity
- 103019 Mathematical physics
Keywords
- (conformal) Killing vector fields
- classification
- conformally flat Scri
- Kerr-de Sitter-like
- EXISTENCE
- TENSORS
- VACUUM
- EQUATIONS
- SMOOTH
- BLACK-HOLES
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