Relativistic fluids in cosmological spacetimes

David Fajman; Maximilian Ofner; Zoe Wyatt

doi:10.1088/1361-6382/ad84ad

Relativistic fluids in cosmological spacetimes

David Fajman
, Maximilian Ofner (Corresponding author)
, Zoe Wyatt

Gravitational Physics

Publications: Contribution to journal › Review › Peer Reviewed

Abstract

We review the status of mathematical research on the dynamical properties of relativistic fluids in cosmological spacetimes-both, in the presence of gravitational backreaction as well as the evolution on fixed cosmological backgrounds. We focus in particular on the phenomenon of fluid stabilization, which describes the taming effect of spacetime expansion on the fluid. While fluids are in general known to form shocks from regular initial data, spacetime expansion has been found to suppress this behaviour. During the last decade, various rigorous results on this problem have been put forward. We review these results, the mathematical methods involved and provide an outlook on open questions.

Original language	English
Article number	233001
Number of pages	20
Journal	Classical and Quantum Gravity
Volume	41
Issue number	23
DOIs	https://doi.org/10.1088/1361-6382/ad84ad
Publication status	Published - 5 Dec 2024

Funding

The authors wish to thank Todd Oliynyk for useful comments on the manuscript. ZW is grateful for the support and hospitality of the Sydney Mathematical Research Institute (SMRI), Monash University and MATRIX. DF and MO acknowledge the hospitality of the Erwin Schr\u00F6dinger International Institute for Mathematics and Physics (ESI) during the course of the workshop \u2018Mathematical Perspectives of Gravitation beyond the Vacuum Regime\u2019 and the support by the Austrian Science Fund (FWF) P 34313-N .

Austrian Fields of Science 2012

103028 Theory of relativity
101006 Differential geometry

Keywords

Einstein equations
Euler equations
mathematical cosmology
relativistic fluids
shock formation

Access to Document

10.1088/1361-6382/ad84adLicence: CC BY 4.0

Cite this

@article{cd502d7dcc14432988ee6f2dd0af037d,

title = "Relativistic fluids in cosmological spacetimes",

abstract = "We review the status of mathematical research on the dynamical properties of relativistic fluids in cosmological spacetimes-both, in the presence of gravitational backreaction as well as the evolution on fixed cosmological backgrounds. We focus in particular on the phenomenon of fluid stabilization, which describes the taming effect of spacetime expansion on the fluid. While fluids are in general known to form shocks from regular initial data, spacetime expansion has been found to suppress this behaviour. During the last decade, various rigorous results on this problem have been put forward. We review these results, the mathematical methods involved and provide an outlook on open questions.",

keywords = "Einstein equations, Euler equations, mathematical cosmology, relativistic fluids, shock formation",

author = "David Fajman and Maximilian Ofner and Zoe Wyatt",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). Published by IOP Publishing Ltd.",

year = "2024",

month = dec,

day = "5",

doi = "10.1088/1361-6382/ad84ad",

language = "English",

volume = "41",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd",

number = "23",

}

TY - JOUR

T1 - Relativistic fluids in cosmological spacetimes

AU - Fajman, David

AU - Ofner, Maximilian

AU - Wyatt, Zoe

PY - 2024/12/5

Y1 - 2024/12/5

N2 - We review the status of mathematical research on the dynamical properties of relativistic fluids in cosmological spacetimes-both, in the presence of gravitational backreaction as well as the evolution on fixed cosmological backgrounds. We focus in particular on the phenomenon of fluid stabilization, which describes the taming effect of spacetime expansion on the fluid. While fluids are in general known to form shocks from regular initial data, spacetime expansion has been found to suppress this behaviour. During the last decade, various rigorous results on this problem have been put forward. We review these results, the mathematical methods involved and provide an outlook on open questions.

AB - We review the status of mathematical research on the dynamical properties of relativistic fluids in cosmological spacetimes-both, in the presence of gravitational backreaction as well as the evolution on fixed cosmological backgrounds. We focus in particular on the phenomenon of fluid stabilization, which describes the taming effect of spacetime expansion on the fluid. While fluids are in general known to form shocks from regular initial data, spacetime expansion has been found to suppress this behaviour. During the last decade, various rigorous results on this problem have been put forward. We review these results, the mathematical methods involved and provide an outlook on open questions.

KW - Einstein equations

KW - Euler equations

KW - mathematical cosmology

KW - relativistic fluids

KW - shock formation

UR - https://www.scopus.com/pages/publications/85207883848

U2 - 10.1088/1361-6382/ad84ad

DO - 10.1088/1361-6382/ad84ad

M3 - Review

AN - SCOPUS:85207883848

SN - 0264-9381

VL - 41

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 23

M1 - 233001

ER -

Relativistic fluids in cosmological spacetimes

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Relativistic fluids in cosmology

Cite this

Relativistic fluids in cosmological spacetimes

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Projects

Relativistic fluids in cosmology

Cite this