Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole
General Relativity and Quantum Cosmology
2012-11-12 v3
Abstract
Waves propagating in the relativistic electron-positron or ions plasma are investigated in a frame of two-fluid equations using the 3+1 formalism of general relativity developed by Thorne, Price and Macdonald (TPM). The plasma is assumed to be freefalling in the radial direction toward the event horizon due to the strong gravitational field of a Schwarzschild black hole. The local dispersion relations for transverse and longitudinal waves have been derived, in analogy with the special relativistic formulation as explained in an earlier paper, to take account of relativistic effects due to the event horizon using WKB approximation
Keywords
Cite
@article{arxiv.1009.5831,
title = {Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole},
author = {M. Atiqur Rahman},
journal= {arXiv preprint arXiv:1009.5831},
year = {2012}
}
Comments
7 pages; Astrophys Space Sci (2012). arXiv admin note: substantial text overlap with arXiv:1008.4838