Holographic thermalization in noncommutative geometry

TL;DR

This paper studies how noncommutative geometry influences the thermalization process in holographic models, revealing that larger noncommutative parameters delay thermalization and affect its velocity and acceleration.

Contribution

It introduces a holographic model of thermalization in noncommutative geometry and analyzes the impact of the noncommutative parameter on thermalization dynamics.

Findings

Larger noncommutative parameter prolongs thermalization time.

Noncommutative parameter affects thermalization velocity.

Noncommutative parameter influences thermalization acceleration.

Abstract

Gravitational collapse of a shell of dust in noncommutative geometry is probed by the renormalized geodesic length, which is dual to probe the thermalization by the two-point correlation function in the dual conformal field theory. We find that larger the noncommutative parameter is, longer the thermalization time is, which implies that the large noncommutative parameter delays the thermalization process. We also investigate how the noncommutative parameter affects the thermalization velocity and thermalization acceleration.