Near and far zone in two-body dynamics: an effective field theory perspective

Abstract

We revisit several aspects of the interaction of self-gravitating, slowly varying sources with their own emitted radiation within the context of post-Newtonian approximation to General Relativity. We discuss and clarify the choice of boundary conditions of Green's functions used to determine conservative potentials, and the interplay between the so-called near and far zones, as well as the relation between far zone ultra-violet divergences and emitted power. Both near and far zone contributions are required for the computation of the conservative dynamics. Within a field-theory approach we rederive far-zone self-energy processes, known as tail and memory effects, generalising the calculation of their divergent part to arbitrary order in the post-Newtonian expansion.

36 pages, 1 figure

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Cited by in corpus (13)

• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiative contributions to gravitational scattering
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• From Boundary Data to Bound States III: Radiative Effects
• Tail contributions to gravitational conservative dynamics
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• Large Gauge Effects and the Structure of Amplitudes
• Gravitational radiation contributions to the two-body scattering angle
• Waveforms from Amplitudes
• Binary dynamics to second post-Newtonian order in scalar-tensor and Einstein-scalar-Gauss-Bonnet gravity from effective field theory
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• Multipolar invariants and the eccentricity enhancement function parametrization of gravitational radiation
• Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity