Abstract
We investigate the stationary spherically symmetric accretion of the collisionless Vlasov gas onto a Bardeen regular black hole. Compared with previous studies, we propose a model in which the total angular momentum of the gas particles is not uniformly distributed; instead, we assume a half-normal distribution. We find that the regularizing parameter in the Bardeen metric has no remarkable influence on the accretion of the gas, but the distribution of the total angular momentum can heavily suppress the mass accretion rate. This effect might be useful to understand the observed low luminosity of Sgr A* and other underluminous sources such as M87*.
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Notes
Note that the angular momentum is a vector and \(\lambda\) here actually stands for the absolute value of the angular momentum. In the absence of additional information, it is reasonable to assume that the total angular momenta of the gas particles are normally distributed with mean zero in each direction; therefore, as the absolute value of the angular momentum, a half-normal distributed \(\lambda\) is more physically natural than an exponentially decaying one, although the latter is simpler mathematically.
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Acknowledgements
The authors are indebted to Xing-Hua Jin, Rui-Xin Yang and Fei Xie for helpful discussions.
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This work is supported by innovation programme of Shanghai Normal University under Grant No. KF202147.
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All authors contributed to the study conception, design and calculation. Dao-Jun Liu wrote the main manuscript text. Jiawei Liao produced the figures. Both authors participated in the discussion and read the final manuscript.
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Liao, J., Liu, DJ. Accretion of the relativistic Vlasov gas onto a Bardeen regular black hole. Astrophys Space Sci 367, 109 (2022). https://doi.org/10.1007/s10509-022-04147-1
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DOI: https://doi.org/10.1007/s10509-022-04147-1