Effective source approach to self-force calculations

Details Effective source approach to self-force calculations Effective source approach to self-force calculations

2011-01-14

arxiv.org/abs/1101.2925v1

Class. Quantum Grav. 28 134010, 2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Invited review for NRDA/Capra 2010 (Theory Meets Data Analysis at Comparable and Extreme Mass Ratios), Perimeter Institute, Ju

Scientific paper

10.1088/0264-9381/28/13/134010

Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force 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 effective-source-based self-force calculations. Finally, we identify some of the key issues related to the effective source approach that will need to be addressed by future work.

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