The amplitude for classical gravitational scattering at third Post-Minkowskian order
N. E. J. Bjerrum-Bohr, P.H. Damgaard, Ludovic Planté, Pierre Vanhove
Abstract
A bstract We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.
Topics & Concepts
PhysicsScattering amplitudeGeneral relativityScatteringAmplitudeEikonal equationFormalism (music)Mathematical physicsNumerical relativityQuantum electrodynamicsComputationGravitationThird orderFirst orderClassical mechanicsQuantum mechanicsApplied mathematicsLawMathematicsVisual artsMusicalPolitical scienceAlgorithmArtPulsars and Gravitational Waves ResearchBlack Holes and Theoretical PhysicsAstrophysical Phenomena and Observations