English

Some Gravitational Instantons

General Relativity and Quantum Cosmology 2009-12-31 v1

Abstract

All known gravitational instantons with Λ>0\Lambda > 0 (S4,CP2,S2×S2S^4, CP^2, S^2 \times S^2 and CP # \overline{CP}^2) are described. They are all special cases of the Taub-NUT-Λ\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.

Cite

@article{arxiv.0912.4922,
  title  = {Some Gravitational Instantons},
  author = {Don N. Page},
  journal= {arXiv preprint arXiv:0912.4922},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T14:28:19.858Z