Article

Nuttier (A)dS Black Holes in Higher Dimensions

Classical and Quantum Gravity (Impact Factor: 3.1). 12/2003; 21(12). DOI: 10.1088/0264-9381/21/12/010
Source: arXiv

ABSTRACT We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these solutions are NUT charged generalizations of the topological black hole solutions in higher dimensions. We also point out the existence of such NUT charged spacetimes in odd dimensions and we explicitly construct such spaces in 5 and 7 dimensions. The existence of such spacetimes with non-trivial topology is closely related to the existence of the cosmological constant. Finally, we discuss the global structure of such solutions and possible applications in string theory. Comment: latex, 30 pages, added references

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    • "is Einstein, this perturbation corresponds to the linearization of the higher-dimensional Taub- NUT solutions of Refs. [27] [28]. For d = 6, the algebraic type of some of these solutions was discussed in Ref. [29], where they were shown to be type D in the classification of Ref. [4]. "
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    • "Notice that now the constraint equation is already encoded in the metric, and we can for convenience scale δ 1 = 1. When n 2 = 0 it reduces to the cosmological 6-dimensional Taub-NUT solution obtained previously in [26] [27]. It is interesting to note that the above form of the metric allows non-singular NUTs of intermediate dimensionality constructed over the base S 2 × S 2 . "
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