A multi-parameter formalism is developed to describe asymmetric binaries in general matter distributions by perturbing around Schwarzschild and reducing metric and fluid perturbations to wave equations similar to the vacuum case.
Low multipole contributions to the gravitational self-force
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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 non-radiating modes are as important as the radiating modes with l greater than 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.
fields
gr-qc 2representative citing papers
4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.
citing papers explorer
-
A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
A multi-parameter formalism is developed to describe asymmetric binaries in general matter distributions by perturbing around Schwarzschild and reducing metric and fluid perturbations to wave equations similar to the vacuum case.
-
Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.