Generalized Nariai Solutions for Yang-type Monopoles

Abstract

A detailed study of the geometries that emerge by a gravitating generalized Yang monopole in even dimensions is carried out. In particular, those which present black hole and cosmological horizons. This two-horizon system is thermally unstable. The process of thermalization will drive both horizons to coalesce. This limit is what is profusely studied in this paper. It is shown that eventhough coordinate distance shrinks to zero, physical distance does not. So, there is some remaining space which geometry has been computed and identified as a generalized Nariai solution. The thermal properties of this new spacetime are then calculated. Topics, as the elliptical relation between radii of spheres in the geometry or a discussion about whether a mass-type term should be present in the line element or not, are also included.

15 pages, 3 figures. References added, typos corrected and points clarified

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• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Duality between Electric and Magnetic Black Holes
• Pair Creation of Black Holes During Inflation
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• Higher order curvature generalisations of Bartnick-McKinnon and coloured black hole solutions in $d=5$
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• Open M5-branes
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Cited by in corpus (7)

• Nariai black holes with quintessence
• Cold, ultracold and Nariai black holes with quintessence
• Born-Infeld-de Sitter gravity: Cold, ultracold and Nariai black holes
• The Entropy Function for the Black Holes of Nariai Class
• On the Superstring Realization of the Yang Monopole
• Magnetic and Electric Black Holes in Arbitrary Dimension
• The Yang Monopole in IIA Superstring: Multi-charge Disease and Enhancon Cure