How gravitational waves scatter off exotic branes in three dimensions

Using linearized gravity in three-dimensional bulk spacetimes, this study maps out how dilaton-graviton waves reflect, transmit, and convert into evanescent surface modes at a thin brane. For the d=2 case, the interface behaves like a translucent but diffusing screen, with the holographic dual suggesting dissipative infrared flow. The d=4 case proves more delicate: the singular zero-temperature geometry requires regularization before scattering is well-defined, though the equations suggest the same qualitative redistribution of flux should survive once a regulator is introduced.