The University of Southampton
University of Southampton Institutional Repository

Short-lived modes from hydrodynamic dispersion relations

Short-lived modes from hydrodynamic dispersion relations
Short-lived modes from hydrodynamic dispersion relations
We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.
Holography, Gravity, Hydrodynamics
1029-8479
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Withers, Benjamin (2018) Short-lived modes from hydrodynamic dispersion relations. Journal of High Energy Physics, 2018 (6). (doi:10.1007/JHEP06(2018)059).

Record type: Article

Abstract

We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.

Text
Withers2018_Article_Short-livedModesFromHydrodynam - Version of Record
Available under License Creative Commons Attribution.
Download (414kB)

More information

Accepted/In Press date: 8 June 2018
e-pub ahead of print date: 11 June 2018
Published date: 11 June 2018
Keywords: Holography, Gravity, Hydrodynamics

Identifiers

Local EPrints ID: 436132
URI: http://eprints.soton.ac.uk/id/eprint/436132
ISSN: 1029-8479
PURE UUID: 082ad721-09d3-444f-9265-1bc936849b5c

Catalogue record

Date deposited: 29 Nov 2019 17:30
Last modified: 04 Feb 2020 18:05

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×