Braneworld physics from the analog-gravity perspective: finiteness effects

TL;DR

This paper explores how analog gravity systems like fluids and Bose-Einstein condensates can model Randall-Sundrum brane scenarios, revealing how bulk geometry effects translate into finiteness properties in these analog systems.

Contribution

It introduces a novel perspective on brane models by mapping warp factors to finiteness effects in analog gravity systems, providing new interpretations of brane phenomena.

Findings

Effective metrics in fluids and BECs mimic brane geometries.

Warp factors correspond to finiteness in analog systems.

New interpretation of critical temperature behavior in warped branes.

Abstract

We study Randall-Sundrum brane models from the viewpoint of condensed matter/quantum optics. Following the idea of analog gravity we obtain effective metrics in fluid and Bose-Einstein-condensate systems mimicking those in the brane framework. We find that the effect of warp factors in the bulk geometry translates into finiteness of the analog systems. As an illustration of this identification we give a new interpretation of the peculiar behaviour of the critical temperature for the splitting of thick branes in warped spacetimes.