New multiply nutty spacetimes. (English) Zbl 1247.83026
Summary: We construct new solutions of the vacuum Einstein field equations with multiple NUT parameters, with and without cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. We also find the multiple NUT parameter extension of the inhomogeneous Einstein metrics on complex line bundles found recently by H. Lü, D. N. Page and C. N. Pope [Phys. Lett., B 593, No. 1-4, 218–226 (2004; Zbl 1247.53054)]. We also provide a more general form of the Eguchi-Hanson solitons found by R. Clarkson and R. B. Mann [Phys. Rev. Lett. 96, No. 5, Article ID 051104, 4 p. (2006)]. We discuss the global structure of such solutions and possible applications in string theory.
MSC:
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
Citations:
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