BYU

Abstract by Ryan Hatch

Personal Infomation


Presenter's Name

Ryan Hatch

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Physics and Astronomy

Faculty Advisor

Eric Hirschmann

Title

The Characteristic Problem in Relativistic Magnetohydrodynamics

Abstract

We consider the characteristic problem in relativistic ideal magnetohydrodynamics. We discuss the structure, formulation, and simplifications of the relevant equations in 3+1 dimensions. Having formulated the equations in balance law form, we find the characteristic equation and discuss the resultant wave speeds. We complete the diagonalization process by finding the left and right eigenvectors. The latter will have applicability in computational work in general relativistic magnetohydrodynamics (GRMHD). Indeed, finding these eigenvectors allows for the application of certain high resolution shock capturing techniques. In particular, the types of problems we are interested in include the dynamics of strongly magnetized neutron stars and their magnetospheres.