Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics

TL;DR

This paper extends a relativistic hydrodynamics solution to magnetohydrodynamics, addressing magnetic field singularities and highlighting the role of electrical currents in highly conductive fluids.

Contribution

It generalizes the Bantilan-Ishi-Romatschke solution to RMHD using black hole boundary symmetries and introduces a regularization method for magnetic field singularities.

Findings

Magnetic fields become singular at specific points under force-free conditions.

Regularization reveals the significance of electrical currents in RMHD.

Solution transformation to flat spacetime broadens applicability.

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.