Stable Magnetic Universes Revisited
arXiv:1104.3401 · doi:10.1007/s10509-012-1217-0
Abstract
A regular class of static, cylindrically symmetric pure magnetic field metrics is rederived in a different metric ansatz in all dimensions. Radial, time dependent perturbations show that for dimensions d>3 such spacetimes are stable at both near r\approx0 and large radius r\rightarrow\infty. In a different gauge these stability analysis and similar results were known beforehand. For d=3, however, simultaneous stability requirement at both, near and far radial distances can not be reconciled for time - dependent perturbations. Restricted, numerical geodesics for neutral particles reveal a confinement around the center in the polar plane. Charged, time-like geodesics for d=4 on the other hand are shown numerically to run toward infinity.
11 pages, 3figures
References in corpus (5)
- Einstein-Yang-Mills black hole solution in higher dimensions by the Wu-Yang Ansatz
- Higher dimensional Yang-Mills black holes in third order Lovelock gravity
- Asymptotically de Sitter and anti-de Sitter Black Holes with Confining Electric Potential
- 'Square Root' of the Maxwell Lagrangian versus confinement in general relativity
- Generating Static Spherically Symmetric Black-holes in Lovelock Gravity