2003/12/01 by Steven Detweiler, Steve Detweiler, Eric Poisson · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Classical mechanics #Dipole #Experimental and Theoretical Physics Studies #Gauge boson #Gauge fixing #Gauge theory #Gravitation #Lorenz gauge condition #Magnetic monopole #Multipole expansion #Physics #Point particle #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Schwarzschild radius #gr-qc
paper · pdf · doi:10.1103/physrevd.69.084019
published as Phys.Rev.D69:084019,2004 · 19 pages, revtex4, 3 figures, 1 table
arxiv created 2003/12/01 · openalex publication_date 2004/04/20 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these nonradiating modes are as important as the radiating modes with l>~2. In fact, we demonstrate how the dipole self-force contributes to the dynamics even at the Newtonian level. The self-acceleration of a particle is an inherently gauge-dependent concept, but the Lorenz gauge is often preferred because of its hyperbolic wave operator. Our results are in the Lorenz gauge and are also obtained in closed form, except for the even-parity dipole case where we formulate and implement a numerical approach.