  The low-energy chiral effective field theory of vector mesons and Goldstone
bosons in external gravitational field is considered. The energy-momentum
tensor is obtained and the gravitational form factors of the $\rho$-meson are
calculated up to next-to-leading order in the chiral expansion. This amounts to
considering tree-level and one-loop order diagrams. The chiral expansion of the
form factors at zero momentum transfer as well as of the slope parameters is
worked out. Also, the long-range behaviour of the energy and internal force
distributions is obtained and analysed.
