Accretion of Vlasov gas onto a black hole in the Kalb–Ramond field

Abstract We investigate the accretion of Vlasov gas onto a static, spherically symmetric black hole (BH) influenced by the Kalb–Ramond (KR) field, focusing on the effects of Lorentz symmetry breaking (LSB) parameters. We employ the Maxwell–Jüttner distribution to model the gas at infinity and derive key quantities such as the particle current density and mass accretion rate. Our findings revealed that increasing the LSB parameter results in a decrease in mass accretion rate. We also present explicit formulations of the accretion rate in the high-temperature limit; the result is significantly different from that of the Bumblebee model.