The future Square Kilometre Array (SKA) telescope promises to revolutionize our ability to test Einstein's General Relativity in the strong-field regime. Binary pulsar systems, acting as natural space laboratories, have so far enabled some of the most precise gravity tests, including those of the strong equivalence principle and the radiative properties of gravity. SKA, with its high sensitivity, will drastically improve the timing precision of recycled pulsars, allowing for an unprecedentedly sensitive search for deviations from General Relativity in currently known systems.

In addition to refining measurements in existing systems, a Galactic pulsar census with SKA will discover dozens of new relativistic systems. Among these, pulsar-black hole binaries are expected, offering unique opportunities to test fundamental hypotheses such as cosmic censorship and the no-hair theorem for black holes. These systems will allow exploration of gravitational aspects like strong equivalence principles, gravitational dipole radiation, the existence of extra field components of gravity, gravitomagnetism, and spacetime symmetries.

SKA's ability to contribute to this science will depend on its specific features and capabilities, which are being designed to maximize discovery potential in this field. The improvement in timing precision and the detection of new exotic systems will open a new window for understanding the fundamental nature of gravity, allowing scientists to search for subtle deviations that could point towards a more complete theory.