Article,
A compact rotating gravitational instanton
Physics Letters B, 79 (3): 235--238 (Nov 20, 1978)
DOI: 10.1016/0370-2693(78)90231-9
Abstract
A compact rotating gravitational instanton (a positive-definite metric solution of the Einstein equations with Λ term) is presented. The manifold is the nontrivial S2 fibre bundle over S2 and has χ = 4, τ = 0, but no spinor structure. The metric can be obtained from a special limit of the positive-definite analytic extension of the Kerr-de Sitter metric or alternatively from the Taub-NUT metric with Λ term. The action is about less negative than that of the Einstein metric on the trivial bundle S2 × S2.
