Holographic Brownian Motion in Three-Dimensional Gödel Black Hole

Abstract EN

By using the AdS/CFT correspondence and Gödel black hole background, we study the dynamics of heavy quark under a rotating plasma.

In that case we follow Atmaja (2013) about Brownian motion in BTZ black hole.

In this paper we receive some new results for the case of α2l2≠1.

In this case, we must redefine the angular velocity of string fluctuation.

We obtain the time evolution of displacement square and angular velocity and show that it behaves as a Brownian particle in non relativistic limit.

In this plasma, it seems that relating the Brownian motion to physical observables is rather a difficult work.

But our results match with Atmaja work in the limit α2l2→1.