# Rindler Fluid with Weak Momentum Relaxation

## TL;DR

This paper studies the effects of weak momentum relaxation on Rindler fluid in flat spacetime, connecting it to holographic fluids in AdS spacetime and exploring the renormalization group flow in fluid/gravity duality.

## Contribution

It introduces a model of Rindler fluid with weak momentum relaxation and links it to holographic fluids via the near horizon limit of AdS spacetime, revealing IR and UV fixed points.

## Key findings

- Derived Ward identity and momentum relaxation rate for Rindler fluid.
- Established connection between Rindler fluid and holographic conformal fluid.
- Identified Rindler fluid as an IR fixed point in holographic RG flow.

## Abstract

We realize the weak momentum relaxation in Rindler fluid, which lives on the time-like cutoff surface in an accelerating frame of flat spacetime. The translational invariance is broken by massless scalar fields with weak strength. Both of the Ward identity and the momentum relaxation rate of Rindler fluid are obtained, with higher order correction in terms of the strength of momentum relaxation. The Rindler fluid with momentum relaxation could also be approached through the near horizon limit of cutoff AdS fluid with momentum relaxation, which lives on a finite time-like cutoff surface in Anti-de Sitter(AdS) spacetime, and further could be connected with the holographic conformal fluid living on AdS boundary at infinity. Thus, in the holographic Wilson renormalization group flow of the fluid/gravity correspondence with momentum relaxation, the Rindler fluid can be considered as the Infrared Radiation(IR) fixed point, and the holographic conformal fluid plays the role of the ultraviolet(UV) fixed point.