PHYSICAL REVIEW D, cilt.103, sa.5, 2021 (SCI-Expanded)
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.