https://doi.org/10.1140/epjc/s10052-026-15469-7
Regular Article - Theoretical Physics
Gravitational waveforms from periodic orbits around a dyonic ModMax black hole
1
School of Physics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China
2
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
3
New Uzbekistan University, Movarounnahr str. 1, 100000, Tashkent, Uzbekistan
4
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
5
Ulugh Beg Astronomical Institute, Astronomy street 33, 100052, Tashkent, Uzbekistan
6
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
7
Western Caspian University, AZ1001, Baku, Azerbaijan
8
Institute of Theoretical Physics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan
9
Institute for Advanced Studies, New Uzbekistan University, Movarounnahr str. 1, 100000, Tashkent, Uzbekistan
10
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, China
11
United Center for Gravitational Wave Physics (UCGWP), Zhejiang University of Technology, 310032, Hangzhou, China
a
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Received:
30
November
2025
Accepted:
19
February
2026
Published online:
12
March
2026
Abstract
In this work, we study the gravitational waveforms from the periodic orbits of a massive particle around a dyonic ModMax black hole. We begin with a brief analysis of the spacetime and then examine how its parameters influence the dynamics of a massive neutral particle using the Lagrangian formalism. In particular, we compute the characteristics of marginally bound orbits and innermost stable circular orbits. Our results show that the values of these quantities increase with the black hole charge Q and the screening parameter 
. We then plot various periodic orbits, characterized by the integers (z,w,v). Finally, we present the gravitational waveforms associated with extreme mass ratio inspirals, consisting of a stellar-mass compact object orbiting a supermassive black hole.
© The Author(s) 2026
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