The Kahler Structure of Asymptotic Twistor Space
19777 pages
Published in:
- J.Math.Phys. 18 (1977) 58-64
DOI:
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Abstract: (AIP)
Asymptotic twistor space T is a 4‐complex‐dimensional Kähler manifold (of signature ++−−) which can be constructed from an asymptotically flat space–time containing gravitational radiation. The properties of this Kähler structure are investigated, the Kähler metric being of a particular type, arising from a scalar Σ with special homogeneity properties. The components of the Kähler curvature K αβ γδ are found explicitly in terms of the asymptotic Weyl curvature of the space–time. When gravitational radiation is present, K αβ γδ ≠0, whereas for a stationary field K αβ γδ=0. The ’’Ricci‐flat’’ condition K αβ αγ=0 is found always to hold.- general relativity
- FIELD THEORETICAL MODEL: TWISTOR
- GROUP THEORY: SU(2,2)
- group: conformal
- GRAVITATION: RADIATION
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