https://doi.org/10.1140/epjc/s10052-025-14663-3
Regular Article - Theoretical Physics
Effects of tidal charge on orbital motion in DMPR brane-world black holes
1
School of Physical Science and Technology, Southwest Jiaotong University, 610031, Chengdu, People’s Republic of China
2
School of Mathematics and Physics, University of South China, 421001, Hengyang, People’s Republic of China
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
12
June
2025
Accepted:
21
August
2025
Published online:
1
September
2025
In this work, the orbital energy and angular momentum are calculated based on the DMPR brane-world black holes, followed by the derivation of the solution for the motion of a test particle to the second post-Newtonian order. The charge parameter Q is found to influence both the periastron advance and orbital period. In particular, its effect on perihelion precession is observed at both the first and second post-Newtonian orders, while the impact on the orbital period occurs only at the second post-Newtonian order. Furthermore, the validity of our model is confirmed by analyzing the pericenter precession of the star S2 orbiting the Galactic Center supermassive black hole Sgr A*. This nearby high-eccentricity orbit (
) provides a unique strong-gravity laboratory, yielding a constraint on the tidal charge parameter of 
.
© 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.
