Analytic black branes in Lifshitz-like backgrounds and thermalization

Understand

Using black brane solutions in 5d Lifshitz-like backgrounds with arbitrary dynamical exponent $\nu$, 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.