2021/03/04 by Stefano Foffa, Riccardo Sturani
Mathematics · Physics and Astronomy · #Boundary (topology) #Classical mechanics #Computation #Context (archaeology) #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #General relativity #Geology #Geometry #Mathematical analysis #Mathematics #Near and far field #Perspective (graphical) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Statistical physics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.104.024069
published as Phys. Rev. D 104, 024069 (2021) · 36 pages, 1 figure
arxiv created 2021/03/04 · openalex created_date 2021/03/15 · openalex publication_date 2021/07/28 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/05
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 the 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 ultraviolet 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, generalizing the calculation of their divergent part to arbitrary order in the post-Newtonian expansion and at second order in the Newton constant.