Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics

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.

29 pages, 13 figures

References in corpus (8)

• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Large rotating AdS black holes from fluid mechanics
• An introduction to relativistic hydrodynamics
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Mass modification of hot pions in magnetized dense medium
• Analytic Solutions of Transverse Magneto-hydrodynamics under Bjorken Expansion