https://doi.org/10.1140/epjc/s10052-023-11762-x
Regular Article - Theoretical Physics
Geodesics on metrics of Eguchi–Hanson type
1
School of Mathematics and Information Science, Guangxi University, 530004, Nanning, Guangxi, People’s Republic of China
2
Guangxi Center for Mathematical Research, Guangxi University, 530004, Nanning, Guangxi, People’s Republic of China
3
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
4
School of Mathematical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, People’s Republic of China
b xzhang@gxu.edu.cn, xzhang@amss.ac.cn
Received:
16
June
2023
Accepted:
25
June
2023
Published online:
6
July
2023
Geodesic equations are solved when at least two of 
, 
and 
are constant, or r is constant, on scalar flat metrics of Eguchi–Hanson type. They can also be solved also on Eguchi–Hanson metrics which are Ricci flat if only is constant. However, the explicit solution of the geodesic equations is not available yet if only is constant.
© The Author(s) 2023
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