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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].

MSC:

76N15 Gas dynamics (general theory)
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53Z05 Applications of differential geometry to physics
83F05 Relativistic cosmology
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