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Geodesics from classical double copy

Sep 2, 2021

10 pages

Published in:

Phys.Rev.D 104 (2021) 10, 105012

Published: Nov 15, 2021

e-Print:

2109.01072 [hep-th]

DOI:

10.1103/PhysRevD.104.105012 (publication)

Report number:

SAGEX-21-18-E,
HU-EP-21/25

View in:

reference search35 citations

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Abstract: (APS)

We extend the Kerr-Schild double copy to the case of a probe particle moving in the Kerr-Schild background. In particular, we solve Wong’s equations for a test color charge in a Coulomb non-Abelian potential (

\sqrt{Schw}

) and on the equatorial plane for the potential generated by a rotating disk of charge known as the single copy of the Kerr background (

\sqrt{Kerr}

). The orbits, as the corresponding geodesics on the gravity side, feature elliptic, circular, hyperbolic and plunge behavior for the charged particle. We then find a new double copy map between the conserved charges on the gauge theory side and the gravity side, which enables us to fully recover geodesic equations for Schwarzschild and Kerr. Interestingly, the map works naturally for both bound and unbound orbits.

Note:

10 pages, 10 figures; v2: published version

charge: color
metric: Kerr
Kerr-Schild
gravitation
orbit
charged particle
metric: Schwarzschild
geodesic
gauge field theory: nonabelian

References(122)

Figures(11)

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