Gravitational memory effects in Tachyon gravity

In this paper, we explore how a massless Tachyon field, when non-minimally coupled to gravity, affects gravitational memory, soft theorems, and symmetries near null infinity. We set up the model using both the Jordan and Einstein frames, work out the equations of motion and study the behavior of fields at large distances with the Bondi-Sachs gauge. The Tachyon adds a ``breathing'' polarization mode to the gravitational radiation, which modifies the Bondi mass loss formula and leaves a trace in the displacement memory effect. We also derived the leading and subleading soft factors, involving the radiation of a soft graviton or a soft scalar.