Flaring Activity of Stars within 30 Parsecs from TESS Data for a Sample of Stars with X-ray Emission from the SRG/eROSITA Catalog

We perform a comparative analysis of the optical flaring activity of two groups (with and without X-ray emission, according to SRG/eROSITA data) of cool FGKM stars within 30 pc of the Sun based on data from the TESS space observatory. About 4800 sources within 30 pc in the eastern Galactic hemisphere have been identified based on the Gaia DR3 catalog and correlated with the SRG/eROSITA catalog of X-ray sources. As a result, we have identified 1309 X-ray sources and 3104 sources without X-ray activity. For these sources we have searched for the light curves and the manifestations of flaring activity based on data from the TESS space observatory. We show that the group of stars with X-ray activity exhibits a much higher optical flaring activity compared to the group of stars without X-ray emission. We have measured the energies of flares for both groups of stars and constructed their energy distributions.