String Fluid in Local Equilibrium

TL;DR

This paper analyzes string fluid solutions in local equilibrium, revealing they can be described by non-interacting submanifolds following known string dynamics, including wiggly, chiral, and Nambu-Goto strings, depending on statistical variances.

Contribution

It demonstrates that string fluid in local equilibrium can be decomposed into submanifolds governed by established string actions, unifying different string models within a fluid framework.

Findings

Submanifolds follow equations of wiggly strings by Vilenkin and Carter.

Special case yields chiral string dynamics with negligible variance.

Vanishing variance reduces to Nambu-Goto string dust.

Abstract

We study the solutions of string fluid equations under assumption of a local equilibrium which was previously obtained in the context of the kinetic theory. We show that the fluid can be foliated into non-interacting submanifolds whose equations of motion are exactly that of the wiggly strings considered previously by Vilenkin and Carter. In a special case of negligible statistical variance in either the left or the right-moving directions of microscopic strings, the submanifolds are described by the action of chiral strings proposed by Witten. When both variances vanish the submanifolds are described by the Nambu-Goto action and the string fluid reduces to the string dust introduced by Stachel.