The Exact Solution of the Riemann Problem in Relativistic MHD
B. Giacomazzo, L. Rezzolla
Abstract
We discuss the procedure for the exact solution of the Riemann problem in special relativistic magnetohydrodynamics (MHD). We consider both initial states leading to a set of only three waves analogous to the ones in relativistic hydrodynamics, as well as generic initial states leading to the full set of seven MHD waves. Because of its generality, the solution presented here could serve as an important test for those numerical codes solving the MHD equations in relativistic regimes.
Create a lesson
Related papers
Non-Commutativity in Geodesic Congruences
Aarav Shah, Louis H. Kauffman
Scalar wave dark matter imprints on binary black hole mergers: dependence on field mass and density
Yu-Peng Zhang, Shao-Wen Wei, Yu-Xiao Liu
Quantum Energy Inequalities with a twist: rotating frames along stationary worldlines
Christopher J. Fewster, Daniel Lomax Ford
Analytic Electromagnetic Effective Source for Geodesic Orbit in Schwarzschild Spacetime
Xuchen Lu, Yungui Gong, Bokai Zhang et al.
Stability conditions for light rings in circular stationary axisymmetric spacetimes
Jake O. Shipley
Post-Newtonian secular dynamics of hierarchical triples II. Canonical derivation of the 1PN\,×\,quadrupole cross terms and of the quadrupole-squared term
Hideyoshi Arakida