Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 279-291 (2007).

Summary: We review the theory of Chaplygin gas. This theory arises from the non-relativistic fluid mechanics with exotic state equation. This condition actually admits that the fluid theory reduces to simple relativistic geometrical objects. This means that the non-relativistic fluid theory has hidden Poincaré symmetry. We show that the geometrical object is the brane described by Nambu-Goto action. The application of this Chaplygin gas to the universe model is also briefly reviewed.

##### MSC:

76N15 | Gas dynamics, general |

76Y05 | Quantum hydrodynamics; relativistic hydrodynamics |

83C55 | Macroscopic interaction of the gravitational field with matter (general relativity) |

53A10 | Minimal surfaces, surfaces with prescribed mean curvature |

53Z05 | Applications of differential geometry to physics |

83F05 | Relativistic cosmology |