Schwarzschild geodesics from scattering amplitudes to all orders in G N

Abstract

Abstract The dynamics of the leading self-force (0SF) order, corresponding to the geodesic motion of a light body in the exact background of a heavy body, are explicitly derived for the first time using a flat space scattering amplitude-based approach. This is achieved by utilising the cubic formulation of Einstein’s general relativity coupled to the effective worldline action of massive point particles, which was employed to derive the Schwarzschild black hole metric in [1].

Keywords

• Effective Field Theories
• Classical Theories of Gravity
• Black Holes