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Chaplygin gas and brane. (English) Zbl 1115.76068
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. For the entire collection see [Zbl 1108.53003].

76N15Gas dynamics, general
76Y05Quantum hydrodynamics; relativistic hydrodynamics
83C55Macroscopic interaction of the gravitational field with matter (general relativity)
53A10Minimal surfaces, surfaces with prescribed mean curvature
53Z05Applications of differential geometry to physics
83F05Relativistic cosmology