Nuttier (A)dS Black Holes in Higher Dimensions

Classical and Quantum Gravity (Impact Factor: 3.17). 12/2003; 21(12). DOI: 10.1088/0264-9381/21/12/010
Source: arXiv


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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Available from: Cristian Stelea, Oct 10, 2012
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    • "In particular this means that in the 4d case, the boundary is nothing more than AdS 3 , and more generally, AdS 3 × S d−4 for d > 4. Due to its connection with the Kerr-AdS solution, this boundary can be thought of as an Einstein static universe which rotates effectively at the speed of light [25]. The obtained solutions (5) are a particular case of the 'nutty' spacetimes constructed in [26] [27]. To see this, let us specify to four dimensions and consider the hyperbolic Taub-NUT-AdS metric [28] "
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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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    • "Its uncharged Taub-NUT version has been used to construct higher dimensional gravitational monopoles [30]. This asymptotically conical space was shown to have a 'balloon' type instability [31] where one of the spheres inflates at the expense of the other. "
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