Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges

Abstract

Higher-dimensional solutions for Einstein-Maxwell equations that generalize the charged Nariai spacetime are obtained. The solutions presented here are made from the direct product of several 2-spaces of constant curvature. These solutions turn out to have many magnetic charges, contrary to the usual higher-dimensional generalization of the Nariai spacetime, which has no magnetic charge at all. These solutions are then used to generate black hole metrics. Finally, it is analyzed how these generalized Nariai solutions are modified in more general theories of gravity.

In comparison with the first version, it has been added some comments about the thermodynamic volume of the Black Hole. Matches the published version. 12 pages

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• A Class of Integrable Metrics and Gauge Fields
• Analytical model on mass limit of strange stars
• Spin 2 Quasinormal Modes in Generalized Nariai Spacetimes
• A Class of Integrable Metrics II
• Quasinormal Modes in Generalized Nariai Spacetimes