Generalization of Bantilan-Ishi-Romatschke flow to magnetohydrodynamics

Abstract

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.

Keywords

• Conformal and W Symmetry
• Holography and quark-gluon plasmas
• Quark-Gluon Plasma
• Space-Time Symmetries