Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
High Energy Physics - Theory
2020-01-29 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Fluid Dynamics
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
Cite
@article{arxiv.1911.06196,
title = {Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics},
author = {M. Shokri},
journal= {arXiv preprint arXiv:1911.06196},
year = {2020}
}
Comments
29 pages, 13 figures