Holographic Fluids from 5D Dilaton Gravity

Abstract

We study a solvable class of five-dimensional dilaton gravity models that continuously interpolate between anti-de Sitter (AdS${}_5$), linear dilaton (LD${}_5$) and positively curved spacetimes as a function of a continuous parameter $\nu$. The dilaton vacuum expectation value is set by a potential localized on a flat brane. We chart the elementary properties of these backgrounds for any admissible $\nu$, and determine stability conditions of the brane-dilaton system. We find that the spectrum of metric fluctuations can be either continuous or discrete. It features a massless graviton mode confined between the brane and the curvature singularity, and a massive radion mode tied to brane-dilaton stability. We show that, in the presence of a bulk black hole, the holographic theory living on the brane features a perfect fluid. The equation of state of the holographic fluid interpolates between radiation, pressureless matter and vacuum energy as a function of $\nu$. This extends earlier findings on holographic fluids. Our results suggest that the thermodynamics of the fluid mirrors precisely the thermodynamics of the bulk black hole.

27 pages. v2: Minor edits, references added. Added appendices revisiting gauge fixing and the graviton quadratic action in warped extra dimensions

References in corpus (5)

• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Holography of Linear Dilaton Spacetimes from the Bottom Up
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Aspects of compactification on a linear dilaton background
• Holography of Broken U(1) Symmetry

Cited by in corpus (4)

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• Physics with high-luminosity proton-nucleus collisions at the LHC