Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order - INSPIRE

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Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order

Apr 15, 2024

24 pages

Published in:

Phys.Rev.D 110 (2024) 8, 084007

Published: Oct 4, 2024

e-Print:

2404.10082 [gr-qc]

DOI:

10.1103/PhysRevD.110.084007 (publication)

View in:

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Abstract: (APS)

Most self-force calculations rely, in one way or another, on representations of a particle’s Detweiler-Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of distance from the particle. As a demonstration, we compute the singular field to 14th order in distance, 10 orders beyond the previous state of the art, in the simple case of a scalar charge in circular orbit around a Schwarzschild black hole. We provide the result in both a four-dimensional form and a decomposed form suitable for use in an

m

-mode puncture scheme. Our method should have applications in overcoming bottlenecks in current self-force calculations at both first and second orders in perturbation theory.

Note:

24 pages, 5 figures

References(62)

Figures(5)

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