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Einstein equations and the joining of discontinuous metrics

✍ Scribed by Jagannath Thakur


Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
558 KB
Volume
51
Category
Article
ISSN
0304-4289

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Einstein metrics, hypercomplex structure
✍ David M.J. Calderbank; Paul Tod πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 73 KB

We obtain explicitly all solutions of the SU(∞) Toda field equation with the property that the associated Einstein-Weyl space admits a 2-sphere of divergence-free shear-free geodesic congruences. The solutions depend on an arbitrary holomorphic function and give rise to new hyperKÀhler and selfdual