Abstract
In this paper, we demonstrate the convergence of a first-order finite difference method for static, spherically symmetric SU(2) Einstein-Yang-Mills (EYM) equations. We introduce a novel weighted es-sential non-oscillatory (WENO) scheme for these equations and apply it, presenting steady-state solutions. Moreover, we introduce the first BV solution to the EYM equation. We develop a WENO-Adams-Moulton method for solving the Einstein constraint equations and construct a new WENO scheme to approximate the second derivative.
| Original language | English |
|---|---|
| Pages (from-to) | 1881-1931 |
| Number of pages | 51 |
| Journal | Advances in Theoretical and Mathematical Physics |
| Volume | 28 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2024 |