1998/09/07 by Marika Taylor-Robinson, Taylor-Robinson, Marika
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9809041
28 pages, RevTeX
arxiv created 1998/09/07 · arxiv updated 2009/11/30
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.