Self-force with numerical relativity tools

ORAL

Abstract

We review recent progress towards developing an approach to self-force problems that take advantage of extant infrastructure within numerical relativity. We shall describe our prescription and its application to the case of a scalar charge in a circular orbit around a Schwarzschild black hole with the use of two evolution codes originally written for numerical relativity applications. Within this framework, the self-force on the charge and the corresponding energy fluxes are computed to within $1\%$ of the known correct answer. This constitutes the first successful calculation of a self-force in a (3+1) setting.

Authors

  • Ian Vega

    University of Guelph

  • Peter Diener

    Louisiana State University

  • Wolfgang Tichy

    Florida Atlantic University, FAU

  • Steven Detwiler

    University of Florida