New gravity tests with the Double Pulsar in the era of MeerKAT

The MeerKAT telescope opens a new era of high precision pulsar timing in the Southern sky. This brings the accuracy of gravity tests with the Double Pulsar J0737-3039A/B to an unprecedented level and enables precision tests of next-to-leading order (NLO) effects in the orbital motion and signal propagation. In this talk, I will present the latest timing results of PSR J0737-3039A based on MeerKAT observations, including an independent confirmation of the NLO signal propagation effects that are not accessible in any other pulsar systems, namely the retardation effect due to the movement of pulsar B and the deflection of the signal of A by the gravitational field of B. With only 3 years of MeerKAT data, we obtained improved measurements on the Shapiro delay and NLO signal propagation effects. Moreover, ongoing observations with MeerKAT and in future the SKA are expected to provide one of the first measurements of the moment of inertia of a neutron star, thus providing important complementary constraints on the equation of state at supranuclear densities.