2026/04/13 by Dhruba Jyoti Gogoi, Jyatsnasree Bora, Ali Övgün
Physics and Astronomy · #Astrophysical Phenomena and Observations #Dark Matter and Cosmic Phenomena #Pulsars and Gravitational Waves Research #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2026/07/087
published as JCAP 07 (2026) 087 · 15 pages, 11 figures
arxiv created 2026/04/13 · openalex publication_date 2026/07/01 · openalex created_date 2026/07/24 · openalex updated_date 2026/07/24 · arxiv updated 2026/07/31
Abstract We investigate equatorial periodic orbits and their gravitational wave radiation in the spacetime of an Euler-Heisenberg (EH) black hole surrounded by perfect fluid dark matter (PFDM). The combined effects of quantum electrodynamic corrections and dark matter are incorporated through an effective metric, and the dynamics of timelike geodesics are analyzed using the effective potential formalism. We derive the conditions for marginally bound and innermost stable circular orbits, classify periodic trajectories using the rational parameter and topological indices, and identify a rich hierarchy of zoom-whirl motions in the strong-field regime. Gravitational wave signals from periodic orbits are computed using the numerical kludge method, revealing characteristic burst-like features associated with whirl phases. For the parameter ranges considered here, the PFDM contribution modifies the location of the stability thresholds and can suppress the waveform amplitude by moving the relevant portions of the orbit away from the strongest-field region. The Euler-Heisenberg term, because of its r -6 falloff, mainly affects the near-horizon part of the motion and can modify the high-frequency structure generated during whirl phases. These findings show that periodic timelike orbits provide a useful diagnostic of the interplay between nonlinear electromagnetic corrections and environmental matter in strong-field spacetimes.