Abstract
We present a generalization of the Bantilan-Ishi-Romatschke (BIR) solution of relativistic hydrodynamics to relativistic magnetohydrodynamics (RMHD). Using the symmetries of the boundary of the Kerr-AdS5 black hole, and certain simplifying assumptions we solve the equations of RMHD on this boundary for a highly conductive fluid. We then transform the resulting solution to the flat spacetime. Furthermore, we show that the force-free condition causes the magnetic field to become singular at particular points and propose a regularization process for removing the singularities. The regularization process reveals the importance of non-vanishing electrical current in RMHD.
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Shokri, M. Generalization of Bantilan-Ishi-Romatschke flow to magnetohydrodynamics. J. High Energ. Phys. 2020, 11 (2020). https://doi.org/10.1007/JHEP01(2020)011
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DOI: https://doi.org/10.1007/JHEP01(2020)011