Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions

Abstract

We study localized plasma configurations in 3+1 dimensional massive field theories obtained by Scherk-Schwarz compactification of 4+1 dimensional CFT to predict the thermodynamic properties of localized blackholes and blackrings in Scherk-Schwarz compactified $Ad{S}_6$ using the AdS/CFT correspondence. We present an exact solution to the relativistic Navier-Stokes equation in the thin ring limit of the fluid configuration. We also perform a thorough numerical analysis to obtain the thermodynamic properties of the most general solution. Finally we compare our results with the recent proposal for the phase diagram of blackholes in six flat dimensions and find some similarities but other differences.

arXiv comment18 pages, 11 figures, latex; v2: Typos corrected and new references added

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Cited by in corpus (14)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Instability and new phases of higher-dimensional rotating black holes
• Ultraspinning instability of rotating black holes
• Black Holes as Lumps of Fluid
• Ultraspinning instability of anti-de Sitter black holes
• Black hole-black string phase transitions from hydrodynamics
• Bifurcation of Plasma Balls and Black Holes to Lobed Configurations
• Surface transport in plasma-balls
• On the surface of superfluids
• Real-time Dynamics of Plasma Balls from Holography
• Exact Gravitational Dual of a Plasma Ball
• Phase diagram for non-axisymmetric plasma balls
• Lumps of plasma in arbitrary dimensions