2 papers
gr-qc2025
Periapsis shift in the Zipoy-Voorhees spacetime
Akihito Katsumata, Tomohiro Harada
We study the periapsis shift of timelike bound orbits in the equatorial plane in the Zipoy-Voorhees spacetime, which is an exact, static, axisymmetric, and vacuum solution characte…
gr-qc2024
New series expansion method for the periapsis shift
Akihito Katsumata, Tomohiro Harada, Kota Ogasawara +1
We propose a new series expansion method for the periapsis shift. The method formulates the periapsis shift in various spacetimes analytically without using special functions and p…