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The seismology of early-type stars is limited by our incomplete understanding of gravito-inertial modes.\n  Aims. We develop a short-wavelength asymptotic analysis for gravito-inertial modes in rotating stars.\n  Methods. The Wentzel-Kramers-Brillouin approximation was applied to the equations governing adiabatic small perturbations about a model of a uniformly rotating barotropic star.\n  Results. A general eikonal equation, including the effect of the centrifugal deformation, is derived. The dynamics of axisymmetric gravito-inertial rays is solved numerically for polytropic stellar mod","authors_text":"Fran\\c{c}ois Ligni\\`eres, J\\'er\\^ome Ballot, Vincent Prat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-30T10:59:26Z","title":"Asymptotic theory of gravity modes in rotating stars. I. 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