Longitudinal Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordstrom Black Hole
arXiv:1008.4835 · doi:10.1007/s10773-010-0600-2
Abstract
The 3+1 spacetime formulation of general relativity is used to investigate the transverse waves propagating in a plasma influenced by the gravitational field of Reissner-Nordstrom black hole, as explained in an earlier paper, to take account of relativistic effects due to the event horizon. Here, a local approximation is used to investigate the one-dimensional radial propagation of longitudinal waves. We derive the dispersion relation for these waves and solve it numerically for the wave number k.
arXiv comment16 pages, 8 figures