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The third post-Newtonian equatorial motion in Kerr spacetime

We calculate the third post-Newtonian (PN) order solution for the equatorial motion of a test particle in Kerr spacetime. In particular, we obtain the effects of the spin-induced quadrupole on the periastron advance and the orbital period at the 3PN order.

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Bibliographic Details
Published in:Physica scripta 2023-12, Vol.98 (12), p.125023
Main Authors: Yang, Bo, Lin, Wenbin
Format: Article
Language:English
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Summary:We calculate the third post-Newtonian (PN) order solution for the equatorial motion of a test particle in Kerr spacetime. In particular, we obtain the effects of the spin-induced quadrupole on the periastron advance and the orbital period at the 3PN order.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad0ae4