https://doi.org/10.1140/epjc/s10052-025-14437-x
Regular Article - Theoretical Physics
Probing a one-loop quantum-corrected Schwarzschild spacetime with precessing and periodic motion
1
School of Science, Nanjing University of Posts and Telecommunications, 210023, Nanjing, China
2
Purple Mountain Observatory, Chinese Academy of Sciences, 210023, Nanjing, China
3
Science and Technology on Aerospace Flight Dynamics Laboratory, 100094, Beijing, China
Received:
2
April
2025
Accepted:
15
June
2025
Published online:
25
June
2025
We investigate the bound orbits of a test timelike particle around the Schwarzschild spacetime with one-loop quantum correction in this work. After obtaining the marginally bound orbit and innermost stable circular orbit numerically, we find that both of their radii decrease with the rescaled quantum-corrected parameter 
Then, we scrutinize the precessing orbits and work out the resulting relativistic periastron advance, which descends with the increment of the one-loop long-distance quantum-corrected effect and could depart from the one in the Schwarzschild spacetime slightly. Based on that, we try to constrain the quantum-corrected effect around the Sgr A* by employing the observation of GRAVITY on S2 star and find a preliminary bound on it. Moreover, we examine the periodic orbits in this spacetime and find that they lay out a distinct pattern from the one in the Schwarzschild spacetime due to the quantum-corrected parameter 
which may give an insight into the quantum effect of the spacetime in the strong gravitational field.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
