  Motivated by the recent observation of $T_{c\bar{s}0}(2900)^0$ and
$T_{c\bar{s}0}(2900)^{++}$ in the $D_s \pi$ invariant mass distributions, we
investigate $D^{\ast}K^{\ast}$ interactions in a coupled-channel approach. We
show that the relativistic corrections could be significant for the energy far
away from the threshold. Within the hidden local symmetry formalism, a sizable
attraction interaction is found in the $J=0$ isospin triplet sector that can
form a bound or a virtual state, which is consistent with the experimentally
observed $T_{c\bar{s}0}(2900)$. By reproducing a $D_s^*\rho$-$D^*K^*$
bound/virtual state with the pole mass equal to that of the
$T_{c\bar{s}0}(2900)$ measured by LHCb in the sector $(I,J)=(1,0)$, we
determine the unknown parameter in the loop function, and then search for
possible poles in the sectors of $I=1$, $J=1,$ 2 and $I=0$, $J=0$, 1, 2. The
predicted resonances provide a useful reference for the future experimental
studies of the $(C,S)=(1,1)$ systems and can be also helpful to unravel the
nature of the $T_{c\bar{s}0}(2900)$.10
