Analogue tachyon in Jeans Cloud

TL;DR

This paper explores how density perturbations in a stable Jeans cloud behave like tachyonic fields, drawing analogies with Klein-Gordon equations with negative mass-squared, and extends this analogy to Bose-Einstein condensate dark matter.

Contribution

It demonstrates that linear density perturbations in a stable Jeans cloud obey a wave equation analogous to a tachyonic Klein-Gordon equation, including in Bose-Einstein condensate dark matter.

Findings

Density perturbations obey a wave equation similar to Klein-Gordon with negative mass-squared.

Analogy extends to Bose-Einstein condensate dark matter.

Provides a new perspective on perturbations in astrophysical and dark matter systems.

Abstract

We study the linear perturbations in a stable Jeans cloud, i.e; the dimension of the cloud is less than the Jeans length. We find that the linear perturbation of density in such a system obeys a wave equation in acoustic analogue of Minkowski space-time which is similar to Klein-Gordon equation for tachyon field in Minkowski space-time, i.e; Klein-Gordon equation with negative mass-squared term in a flat space time background. We further find the analogy with tachyon field for linear perturbation of density by studying linear perturbations in a stable cloud made of Bose-Einstein condensate as dark matter.