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Shock waves in Lifshitz-like spacetimes

  • Irina Ya. Aref’eva
  • Anastasia A. Golubtsova
Open Access
Regular Article - Theoretical Physics

Abstract

We construct shock waves for Lifshitz-like geometries in four- and fivedimensional effective theories as well as in D3-D7 and D4-D6 brane systems. The solutions to the domain wall profile equations are found. Further, the study makes a connection with the implications for the quark-gluon plasma formation in heavy-ion collisions. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface formed in shock wave collisions. We calculate the areas of trapped surfaces in the geometry of two colliding Lifshitz domain walls. Our estimates show that for five-dimensional cases with certain values of the critical exponent the dependence of multiplicity on the energy of colliding ions is rather close to the experimental data \( \mathrm{\mathcal{M}} \)s 0.15 observed at RHIC and LHC.

Keywords

Holography and quark-gluon plasmas Gauge-gravity correspondence Intersecting branes models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Irina Ya. Aref’eva
    • 1
  • Anastasia A. Golubtsova
    • 2
  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Bogoliubov Laboratory of Theoretical Physics, JINRDubnaRussia

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