Description
In this talk, I will motivate the recent studies of celestial holography on backgrounds. I will review eikonal amplitudes and their relations to probe amplitudes on a fixed background. This would allow us to compute celestial probe amplitudes on shockwaves, Schwarzchild, and Kerr backgrounds to all orders in Newton's constant G. I will also discuss the dispersion relations of the celestial probe amplitudes on the shockwave backgrounds and celestial eikonal amplitudes.