https://doi.org/10.1140/epjc/s10052-026-15667-3
Regular Article - Theoretical Physics
Gravitational waveforms from periodic orbits around a novel regular black hole
1
Department of Physics, Institute of Interdisciplinary Studies, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Hunan Research Center of the Basic Discipline for Quantum Effects and Quantum Technologies, Hunan Normal University, 410081, Changsha, China
2
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, 310024, Hangzhou, China
3
School of Physics and Technology, Wuhan University, 430072, Wuhan, China
4
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
a
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b
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Received:
9
November
2025
Accepted:
3
April
2026
Published online:
5
May
2026
Abstract
We explore potential quantum gravity signatures by studying periodic orbits and their GW emissions around a novel regular black hole (BH) featuring a Minkowski core. Using a rational number q, periodic orbits are classified, revealing that the deviation parameter 
reshapes the bound-orbit region while preserving characteristic “zoom-whirl” structures. Numerical kludge waveforms reveal detectable phase shifts and amplitude modulations induced by quantum gravity effects with radiation reaction breaking orbital periodicity. Faithfulness analysis demonstrates that larger 
and q enhance distinguishability from the Schwarzschild case, and a comparison with Hayward and quantum Oppenheimer–Snyder BHs shows their similar large-scale behaviors yield macroscopically indistinguishable orbits and waveforms.
© The Author(s) 2026
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