We prove existence of global attractors for damped hyperbolic equations of the form $$aligned eps u_{tt}+alpha(x) u_t+eta(x)u- sum_{ij}(a_{ij}(x) u_{x_j})_{x_i}&=f(x,u),quad xin Omega, tin[0,infty[, u(x,t)&=0,quad xin partial Omega, tin[,infty[.endaligned$$ on an unbounded domain $Omega$, without smoothness assumptions on $eta(cdot)$, $a_{ij}(cdot)$, $f(cdot,u)$ and $partialOmega$, and $f(x,cdot)$ having critical or subcritical growth.
