Semi-analytical study of stellar high-order gravity modes

Modern space-borne missions such as CoRoT, Kepler, and TESS have enabled us to find a few hundreds of intermediate-mass (1.4-8.0 solar mass) main-sequence stars that are pulsating with gravity (g) modes whose restoring force is the buoyancy. The measured g-mode periods are quite informative on internal properties of the stars, but they are difficult to interpret because of a rather complex relation between the g-mode period and internal dynamics and structure of the stars. In this talk, I present semi-analytical studies of high-order g modes, where relations between the g-mode period and internal properties, namely, the Brunt-Väisälä (BV) frequency profile and internal rotation profile, have been established. Such semi-analytical studies of high-order g modes will possibly allow us to put further constraints on, e.g., mixing processes inside intermediate-mass main-sequence g-mode pulsators such as beta Cep, SPB, and gamma Dor stars that have been principal targets in asteroseismology and will be observed by the PLATO telescope.