Empirically revealed properties of Rieger-type cycles of stellar activity

Context. The Rieger cycles were discovered in the Sun as a specific 154-day periodicity of flare occurrence; they strongly influence terrestrial space weather. This phenomenon is far from being understood. Various proposed mechanisms for this periodicity need further verification in stars with stellar parameters different from those of the Sun.
Aims: In this work, we study the Rieger-type cycle (RTC) periods P_RTC of stellar activity surveyed in the photometric data of the Kepler space telescope.
Methods: The processing of 1726 stellar light curves reveals statistics of P_RTC values for different main-sequence stars with different effective temperatures T_eff and periods of rotation P. This study uses as an index of stellar activity the squared amplitude of the first rotational harmonic A₁² of the stellar light curve variability.
Results: The obtained information on P_RTC of the considered stars confirms the phenomenological analogy between stellar RTCs and the solar Rieger cycles. Two types of RTCs were found: (1) activity cycles with P_RTC independent on the stellar rotation, which are typical for the stars with T_eff ≲ 5500 K, and (2) activity cycles with P_RTC proportional to the stellar rotation period P, which take place on stars with T_eff ≳ 6300 K. These two types of RTCs can be driven by the Kelvin and Rossby waves, respectively. The Rossby wave-driven RTCs show a relation with the location of tachocline at shallow depths in the hot stars. This confirms the theoretical predictions of the connection of the RTC with the tachocline. At the same time, the Kelvin wave-driven RTCs do not show this connection. Apparently, both types of wave drivers of RTCs can coexist, resulting in the joint modulation of the magnetic flux tubes emergence by Kelvin and Rossby waves, and the corresponding behavior of P_RTC.
Conclusions: The signatures of two types of wave drivers discovered for RTCs and their different relations with the tachocline call for a revision and further elaboration of the theory of RTCs.