Modeling rapidly rotating stars

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We review the quest of modeling rapidly rotating stars during the past 40 years and detail the challenges to be taken up by models facing new data from interferometry, seismology, spectroscopy... We then present the progress of the ESTER project aimed at giving a physically self-consistent model for the structure and evolution of rapidly rotating stars.
to appear in the proceedings of the SF2A conference held in Paris June 2006. 6p. 1 fig

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