Relativistic Hydrodynamics under Rotation: Prospects & Limitations from a Holographic Perspective
Abstract
The AdS/CFT correspondence, or holography, has provided numerous important insights into the behavior of strongly-coupled many-body systems. Crucially, it has provided a testing ground for the construction of new effective field theories, especially those in the low frequency, long wavelength limit known as hydrodynamics. We review the study of strongly-coupled rotating fluids using holography, and we examine the hydrodynamics emerging from the study of rotating Myers-Perry black holes. We discuss three regimes in which holographic rotating fluids display either (1) hydrodynamic behavior of a boosted fluid, (2) hydrodynamic behavior distinct from a boosted fluid, or (3) no obvious hydrodynamic behavior. We describe techniques to obtain hydrodynamic and non-hydrodynamic modes, and we compute the radius of convergence for the hydrodynamic regimes. The limitations of hydrodynamics under rotation are discussed alongside our findings.
Keywords
Cite
@article{arxiv.2308.11686,
title = {Relativistic Hydrodynamics under Rotation: Prospects & Limitations from a Holographic Perspective},
author = {Markus A. G. Amano and Casey Cartwright and Matthias Kaminski and Jackson Wu},
journal= {arXiv preprint arXiv:2308.11686},
year = {2024}
}
Comments
v2: significantly extended discussion added in all sections, 70 pages, 16 figures, 10 tables, 6 appendices; v1: 38 pages, 14 figures, 10 tables, 5 appendices, ancillary data files