Gravitational formfactors of the $\rho $, $\pi $, and $K$ mesons in the light-cone QCD sum rules

By using the quark part of the energy-momentum tensor current, the gravitational formfactors of the $\rho $, $\pi $, and $K$ mesons are calculated within the light-cone sum rules method. In the considered version, the energy-momentum tensor current is not conserved and as a result, for integer spin $J$, there appear $4J+2$ ($2J+1$) formfactors, which correspond to the conservation (nonconservation) of the energy-momentum tensor current. The average mass radius of $\rho $, $\pi $, and $K$ mesons as well as the gravitational quadrupole moment of the $\rho $ meson are calculated. We also compare our results with the one existing in the literature on these quantities.