A connector arrangement comprises a rigid inner conductor (107), a dielectric sleeve (111) arranged around the inner conductor and a rigid outer conductor (109) arranged around the sleeve. A surface of at least one of the inner conductor, the sleeve and the outer conductor is provided with a taper, such that the sleeve fixes the relative transverse positions of the inner and outer conductors at a first end of the arrangement and not at a second end of the arrangement. The inner conductor is longitudinally slidable relative to the outer conductor. Such an arrangement is suitable for use in hostile environments, such as in high temperature pipelines, in which there are large temperature variations and in which the positional variation of mating connectors is high.