https://hal-insu.archives-ouvertes.fr/insu-03713169Aref'Eva, Irina Ya.Irina Ya.Aref'EvaGolubtsova, Anastasia A.Anastasia A.GolubtsovaGourgoulhon, EricEricGourgoulhonLUTH (UMR_8102) - Laboratoire Univers et Théories - INSU - CNRS - Institut national des sciences de l'Univers - Observatoire de Paris - PSL - Université Paris sciences et lettres - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche ScientifiqueAnalytic black branes in Lifshitz-like backgrounds and thermalizationHAL CCSD2016Gauge-gravity correspondenceHolography and quark-gluon plasmasAdSCFT CorrespondenceHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmology[SDU] Sciences of the Universe [physics]POTHIER, Nathalie2022-07-04 15:12:132022-08-02 04:17:382022-07-04 15:12:14enJournal articleshttps://hal-insu.archives-ouvertes.fr/insu-03713169/document10.1007/JHEP09(2016)142application/pdf1Using black brane solutions in 5d Lifshitz-like backgrounds with arbitrary dynamical exponent ν, we construct the Vaidya geometry, asymptoting to the Lifshitz-like spacetime, which represents a thin shell infalling at the speed of light. We apply the new Lifshitz-Vaidya background to study the thermalization process of the quark-gluon plasma via the thin shell approach previously successfully used in several backgrounds. We find that the thermalization depends on the chosen direction because of the spatial anisotropy. The plasma thermalizes thus faster in the transversal direction than in the longitudinal one. To probe the system described by the Lifshitz-like backgrounds, we also calculate the holographic entanglement entropy for the subsystems delineated along both transversal and longitudinal directions. We show that the entropy has some universality in the behavior for both subsystems. At the same time, we find that certain characteristics strongly depend on the critical exponent ν.