Some Gravitational Instantons

Details Some Gravitational Instantons Some Gravitational Instantons

2009-12-27

arxiv.org/abs/0912.4922v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This is a paper I presented at a conference in Moscow in December 1978, but it was never published

Scientific paper

All known gravitational instantons with $\Lambda > 0$ ($S^4, CP^2, S^2 \times
S^2$ and $CP # \overline{CP}^2$) are described. They are all special cases of
the Taub-NUT-$\Lambda$ local solution. Hence they are Type D and are locally
conformably K\"ahler. They all may be expressed in Bianchi IX form and have
four or more Killing vectors.

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