https://doi.org/10.1140/epjc/s10052-024-13680-y
Regular Article - Theoretical Physics
Periapsis precession in general stationary and axisymmetric spacetimes
1
Department of Astronomy, School of Physics and Technology, Wuhan University, 430072, Wuhan, China
2
School of Physics and Technology, Wuhan University, 430072, Wuhan, China
3
Department of Astronomy and MOE Key Laboratory of Artificial Micro- and Nano-structures, School of Physics and Technology, Wuhan University, 430072, Wuhan, China
Received:
22
January
2024
Accepted:
3
December
2024
Published online:
20
December
2024
This work studies the periapsis shift in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. Two perturbative methods are systematically developed. The first works for small eccentricity but very general orbit size and the second, which is post-Newtonian and includes two variants, is more accurate for orbits of large size but allows general eccentricity. Results from these methods are shown to be equivalent under small eccentricity and large size limits. The periapsis shift of Kerr–Newman, Kerr–Sen and Kerr–Taub-NUT spacetimes is computed to high orders. The electric charge and NUT charge are shown to contribute to the leading order but with opposite signs. The frame-dragging term and high-order effect of spacetime spin are given. The electric and NUT charges of the Earth, Sun and Sgr A* are constrained using the Mercury, satellite and S2 precession data. Periapsis shifts of other spacetimes are obtained too.
© The Author(s) 2024
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