The extreme-mass-ratio inspirals (EMRIs) are emerging as precision laboratories for testing the gravity beyond general relativity. In this work, we investigate the Lorentz symmetry breaking (LSB) effect induced by the Kalb-Ramond (KR) field on the gravitational waveforms from the EMRI system. We observe that the LSB parameter l appears in the leading order for the corrections of energy and angular momentum fluxes, and as ∣l∣ increases, the differences in EMRI waveforms between the KR black hole and Schwarzschild black hole become more pronounced. We note that the LSB effect becomes detectable by LISA for values of ∣l∣∼10−6 with a one-year observation period. Furthermore, we use the Fisher information matrix (FIM) approach for the parameter estimation and find the detection error for l can be constrained to Δl∼10−5 at SNR=20, demonstrating the potential of space-based gravitational wave detectors to rigorously test the KR field.
@article{arxiv.2509.16838,
title = {Probing Kalb-Ramond field with extreme mass ratio inspirals},
author = {Zhong-Wu Xia and Huajie Gong and Qiyuan Pan and Jiliang Jing},
journal= {arXiv preprint arXiv:2509.16838},
year = {2025}
}