Chaplygin gas with field-dependent Poincare symmetry

TL;DR

This paper presents a relativistic generalization of the Chaplygin gas within a Kaluza-Klein framework, revealing a field-dependent Poincaré symmetry and connecting it to brane actions in string theory.

Contribution

It introduces a new relativistic model of the Chaplygin gas with a simplified proof of its field-dependent Poincaré symmetry using a quadratic Lagrangian.

Findings

Derivation of the relativistic Chaplygin gas in Kaluza-Klein framework

Simplified proof of field-dependent Poincaré symmetry

Relation to brane actions like Nambu-Goto

Abstract

The relativistic generalization of the Chaplygin gas, put forward by Jackiw and Polychronakos, is derived in Duval's Kaluza-Klein framework, using a universal quadratic Lagrangian. Our framework yields a simplified proof of the field-dependent Poincar\'e symmetry Our action is related to the usual Nambu-Goto action [world volume] of $d$-branes in the same way as the Polyakov and the Nambu action are in strings theory.