Higher dimensional Taub-Bolt solutions and the entropy of non compact manifolds

Details Higher dimensional Taub-Bolt solutions and the entropy of non compact manifolds Higher dimensional Taub-Bolt solutions and the entropy of non compact manifolds

1998-09-07

arxiv.org/abs/hep-th/9809041v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, RevTeX

Scientific paper

We discuss the action of a circle isometry group on non compact Euclidean Einstein manifolds. We discuss approaches to a decomposition of the action and entropy for non compact manifolds in terms of the characteristics of the orbit space of a suitable isometry. There is entropy associated with non trivial cohomology of the orbit space of the isometry, and we consider a class of non compact solutions for which such contributions do not vanish. To obtain suitable solutions we generalise the Bais-Batenburg construction of higher dimensional Taub-Nut type solutions to obtain the corresponding bolt solutions. We consider the generalisations to non compact solutions of gravity coupled to scalar and gauge fields.

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