A de Sitter hoedown
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Published version
Embargoed until: 5555-01-01
Reason: Version Not Permitted
Embargoed until: 5555-01-01
Reason: Version Not Permitted
Volume
2010
DOI
10.1007/JHEP08(2010)131
Journal
Journal of High Energy Physics
Issue
ISSN
1126-6708
Metadata
Show full item recordAbstract
Rotating black holes in de Sitter space are known to have interesting limits where the temperatures of the black hole and cosmological horizon are equal. We give a complete description of the thermal phase structure of all allowed rotating black hole configurations. Only one configuration, the rotating Nariai limit, has the black hole and cosmological horizons both in thermal and rotational equilibrium, in that both the temperatures and angular velocities of the two horizons coincide. The thermal evolution of the spacetime is shown to lead to the pure de Sitter spacetime, which is the most entropic configuration. We then provide a comprehensive study of the wave equation for a massless scalar in the rotating Nariai geometry. The absorption cross section at the black hole horizon is computed and a condition is found for when the scattering becomes superradiant. The boundary-to-boundary correlators at finite temperature are computed at future infinity. The quasinormal modes are obtained in explicit form. Finally, we obtain an expression for the expectation value of the number of particles produced at future infinity starting from a vacuum state with no incoming particles at past infinity. Some of our results are used to provide further evidence for a recent holographic proposal between the rotating Nariai geometry and a two-dimensional conformal field theory. © 2010 SISSA.
Authors
Anninos, D; Anous, TCollections
- Mathematics [1478]