Abstract
We use the AdS/CFT correspondence in a regime in which the field theory reduces to fluid dynamics to construct an infinite class of new black objects in Scherk-Schwarz compactified AdSd+2 space. Our configurations are dual to black objects that generalize black rings and have horizon topology S d−n T n for \( n \leq \frac{{d - 1}}{2} \). Locally our fluid configurations are plasma sheets that curve around into tori whose radii are large compared to the thickness of the sheets (the ratio of these radii constitutes a small parameter that permits the perturbative construction of these configurations). These toroidal configurations are stabilized by angular momentum. We study solutions whose dual horizon topologies are S 3 × S 1, S 4 × S 1 and S 3 × T 2 in detail; in particular we investigate the thermodynamic properties of these objects. We also present a formal general construction of the most general stationary configuration of fluids with boundaries that solve the d dimensional relativistic Navier-Stokes equation.
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ArXiv ePrint: 0903.4734
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Bhattacharya, J., Lahiri, S. Lumps of plasma in arbitrary dimensions. J. High Energ. Phys. 2010, 73 (2010). https://doi.org/10.1007/JHEP08(2010)073
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DOI: https://doi.org/10.1007/JHEP08(2010)073