Remarks on the Generalized Chaplygin Gas
Rabin Banerjee, Subir Ghosh, Shailesh Kulkarni

TL;DR
This paper develops a comprehensive action formulation for the Generalized Chaplygin Gas, including both nonrelativistic and relativistic cases, and analyzes its symmetry properties.
Contribution
It introduces the most general nonrelativistic action consistent with the GCG equation of state and provides a detailed relativistic formulation with Poincare algebra analysis.
Findings
Derived the nonrelativistic GCG action consistent with its equation of state.
Presented a relativistic formulation of GCG with Poincare algebra analysis.
Established a foundation for further studies of GCG dynamics and symmetries.
Abstract
We have developed an action formulation for the Generalized Chaplygin Gas (GCG). The most general form for the nonrelativistic GCG action is derived consistent with the equation of state. We have also discussed a relativistic formulation for GCG by providing a detailed analysis of the Poincare algebra.
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