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Phys. J. C"],"abstract":"<jats:title>Abstract<\/jats:title>\n          <jats:p>In this paper, we study time-like geodesics around a spherically symmetric black hole in Kalb\u2013Ramond (KR) gravity, characterized by the parameter <jats:italic>l<\/jats:italic>,\u00a0 which induces spontaneous Lorentz symmetry breaking. The geodesic equations and effective potential are derived to investigate the influence of <jats:italic>l<\/jats:italic>. We calculate the marginally bound orbits and innermost stable circular orbits, analyzing the parameter\u2019s impact. Periodic orbits are computed numerically and classified within the standard taxonomy, revealing significant effects of <jats:italic>l<\/jats:italic> on their momentum and energy. Additionally, we explore an extreme mass ratio inspiral system under the adiabatic approximation to derive gravitational waveforms emitted by an object orbiting a supermassive black hole in KR gravity. These waveforms reflect the distinctive characteristics of periodic orbits and highlight the influence of <jats:italic>l<\/jats:italic>. With advancements in gravitational wave detection, these results offer insights into black holes influenced by Lorentz symmetry-breaking fields.\n<\/jats:p>","DOI":"10.1140\/epjc\/s10052-025-14299-3","type":"journal-article","created":{"date-parts":[[2025,5,21]],"date-time":"2025-05-21T12:19:58Z","timestamp":1747829998000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb\u2013Ramond gravity"],"prefix":"10.1140","volume":"85","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7230-3666","authenticated-orcid":false,"given":"Ednaldo L. 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