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arXiv:1501.07322gr-qc

Self-force: Computational Strategies

Barry Wardell

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Abstract

Building on substantial foundational progress in understanding the effect of a small body's self-field on its own motion, the past 15 years has seen the emergence of several strategies for explicitly computing self-field corrections to the equations of motion of a small, point-like charge. These approaches broadly fall into three categories: (i) mode-sum regularization, (ii) effective source approaches and (iii) worldline convolution methods. This paper reviews the various approaches and gives details of how each one is implemented in practice, highlighting some of the key features in each case.

arXiv comments
Synchronized with final published version. Review to appear in "Equations of Motion in Relativistic Gravity", published as part of the Springer "Fundamental Theories of Physics" series. D. Puetzfeld et al. (eds.), Equations of Motion in Relativistic Gravity, Fundamental Theories of Physics 179, Springer, 2015
Journal reference
DOI
doi:10.1007/978-3-319-18335-0_14
Subjects
gr-qcGeneral Relativity and Quantum Cosmology astro-ph.HEHigh Energy Astrophysical Phenomena

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  1. Why gravity is not like the other forces 1 comment

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