Journal
PHYSICS LETTERS A
Volume 279, Issue 3-4, Pages 215-222Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(00)00834-3
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The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the Kaluza-Klein type framework of Duval et al. In the standard polytropic case the recent results of O'Raifeartaigh and Sreedhar are confirmed. Similar results are proved for polytropic exponent gamma = -1, which corresponds to the dimensional reduction of d-branes. The relation between the duality transformation used in describing supernova explosion and cosmology is explained. (C) 2001 Elsevier Science B.V. All rights reserved.
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