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.

中文翻译：

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光锥QCD和规则中ρ，π和Kmesons的引力形式因子

通过使用能量动量张量电流的夸克部分， $\rho$， $\pi$， 和 $ķ$介子是在光锥和规则法中计算的。在考虑的版本中，能量动量张量电流不守恒，因此，对于整数自旋$Ĵ$，出现 $4Ĵ+\mathrm{2个}$ （$\mathrm{2个}Ĵ+\mathrm{1个}$）形状因数，对应于能量动量张量电流的守恒（不守恒）。的平均质量半径$\rho$， $\pi$， 和 $ķ$ 介子以及万有引力的四极矩 $\rho$介子被计算出来。我们还将我们的结果与文献中有关这些数量的结果进行比较。