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.

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

References in corpus (10)

• Nonlinear Fluid Dynamics from Gravity
• Local Fluid Dynamical Entropy from Gravity
• Forced Fluid Dynamics from Gravity
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Large rotating AdS black holes from fluid mechanics
• Equilibrium configurations of fluids and their stability in higher dimensions
• Plasmarings as dual black rings
• On the stability of AdS black strings
• The return of the membrane paradigm? Black holes and strings in the water tap
• Perturbative non uniform black strings in ${AdS}_6$

Cited by in corpus (6)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Ultraspinning instability of rotating black holes
• Black Holes as Lumps of Fluid
• Bifurcation of Plasma Balls and Black Holes to Lobed Configurations
• Black hole-black string phase transitions from hydrodynamics