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

Marc Mars, Tim Torben Paetz (Corresponding author), José M.M. Senovilla

Publications: Contribution to journalArticlePeer Reviewed

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 languageEnglish
Article number095010
Number of pages58
JournalClassical and Quantum Gravity
Volume34
Issue number9
DOIs
Publication statusPublished - 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

Fingerprint

Dive into the research topics of 'Classification of Kerr-de Sitter-like spacetimes with conformally flat Scri'. Together they form a unique fingerprint.

Cite this