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Zbl 1115.76068
Ogawa, Naohisa
Chaplygin gas and brane. (English)
[A] Mladenov, Iva\"ilo (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. 279-291 (2007). ISBN 978-954-8495-37-0/pbk

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 2000:: *76N15 Gas dynamics, general
76Y05 Nonclassical hydrodynamics
83C55 Hydrodynamics (general relativity)
53A10 Minimal surfaces, surfaces with prescribed mean curvature
53Z05 Appl. of differential geometry to physics
83F05 Relativistic cosmology

Keywords: Poincaré symmetry; Nambu-Goto action; universe model

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