Effective source approach to selfforce calculations
Abstract
Numerical evaluation of the selfforce on a point particle is made difficult by the use of delta functions as sources. Recent methods for selfforce calculations avoid delta functions altogether, using instead a finite and extended 'effective source' for a point particle. We provide a review of the general principles underlying this strategy, using the specific example of a scalar point charge moving in a black hole spacetime. We also report on two new developments: (i) the construction and evaluation of an effective source for a scalar charge moving along a generic orbit of an arbitrary spacetime, and (ii) the successful implementation of hyperboloidal slicing that significantly improves on previous treatments of boundary conditions used for effectivesourcebased selfforce calculations. Finally, we identify some of the key issues related to the effective source approach that will need to be addressed by future work.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 July 2011
 DOI:
 10.1088/02649381/28/13/134010
 arXiv:
 arXiv:1101.2925
 Bibcode:
 2011CQGra..28m4010V
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 Invited review for NRDA/Capra 2010 (Theory Meets Data Analysis at Comparable and Extreme Mass Ratios), Perimeter Institute, June 2010, CQG special issue  22 pages, 8 figures