https://doi.org/10.1140/epjc/s10052-024-12915-2
Regular Article - Theoretical Physics
How Gubser flow ends in a holographic conformal theory
1
Department of Physics, Crete Center for Theoretical Physics, University of Crete, Heraklion, Greece
2
Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris, 75005, Paris, France
3
Asia Pacific Center for Theoretical Physics, Postech, 37673, Pohang, Korea
4
The Institute of Mathematical Sciences, 600113, Chennai, India
5
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400094, Mumbai, India
6
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Universidad 330, Valparaíso, Chile
7
Center for Strings, Gravitation and Cosmology, Indian Institute of Technology Madras, 600036, Chennai, India
8
Faculty of Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, 1000, Ljubljana, Slovenia
d
alexander.soloviev@fmf.uni-lj.si
Received:
25
January
2024
Accepted:
14
May
2024
Published online:
31
May
2024
Gubser flow is an axis-symmetric and boost-invariant evolution in a relativistic quantum field theory which is best studied by mapping to
when the field theory has conformal symmetry. We show that at late de-Sitter time, which corresponds to large proper time and central region of the future wedge within
, the holographic conformal field theory plasma can reach a state in which
, with
,
and
being the energy density, transverse and longitudinal pressures, respectively. We further determine the full sub-leading behaviour of the energy–momentum tensor at late time. Restricting to flows in which the energy density decays at large transverse distance from the central axis in
, we show that this decay should be faster than any power law. Furthermore, in this case the energy density also vanishes in
faster than any power as we go back to early proper time. Hydrodynamic behavior can appear in intermediate time.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.