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PreprintarXiv licencearXiv

Analytic Electromagnetic Effective Source for Geodesic Orbit in Schwarzschild Spacetime

  • Xuchen Lu
  • Yungui Gong
  • Bokai Zhang
  • Chao Zhang
  • Wenting Zhou
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Abstract

Self-force effects are essential for accurately describing the motion of small bodies in curved spacetime. The effective-source approach privides a promising route to higher-order self-force calculations. In this paper, we construct analytic electromagnetic effective source for geodesic motion in Schwarzschild spacetime. An angular completion and a tetrad decomposition express the vector-harmonic puncture modes as finite sums of scalar modes. We derive the coupling coefficients for both parity sectors and obtain the effective sources from the Maxwell mode equations. The point-particle delta contribution cancels, and representative eccentric-orbit results show finite mode sources near the particle. These expressions provide the source terms for future 1+1-dimensional residual-field calculations.

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Cite

BibTeXRIS
BibTeX
@misc{lu2026analytic,
  title = {{Analytic Electromagnetic Effective Source for Geodesic Orbit in Schwarzschild Spacetime}},
  author = {Xuchen Lu and Yungui Gong and Bokai Zhang and Chao Zhang and Wenting Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14909},
  eprint = {2610.14909},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14909},
}
RIS
TY  - UNPB
TI  - Analytic Electromagnetic Effective Source for Geodesic Orbit in Schwarzschild Spacetime
AU  - Xuchen Lu
AU  - Yungui Gong
AU  - Bokai Zhang
AU  - Chao Zhang
AU  - Wenting Zhou
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.14909
UR  - https://arxiv.org/abs/2610.14909
AB  - Self-force effects are essential for accurately describing the motion of small bodies in curved spacetime. The effective-source approach privides a promising route to higher-order self-force calculations. In this paper, we construct analytic electromagnetic effective source for geodesic motion in Schwarzschild spacetime. An angular completion and a tetrad decomposition express the vector-harmonic puncture modes as finite sums of scalar modes. We derive the coupling coefficients for both parity sectors and obtain the effective sources from the Maxwell mode equations. The point-particle delta contribution cancels, and representative eccentric-orbit results show finite mode sources near the particle. These expressions provide the source terms for future 1+1-dimensional residual-field calculations.
ER  -