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Conference Paper

Effective source approach to self-force calculations

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Wardell,  Barry
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1101.2925
(Preprint), 419KB

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Citation

Vega, I., Wardell, B., & Diener, P. (2011). Effective source approach to self-force calculations. Classical and quantum gravity, 28(13): 134010.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-0701-0
Abstract
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.