Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole

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

7 pages; Astrophys Space Sci (2012). arXiv admin note: substantial text overlap with arXiv:1008.4838

References in corpus (4)

• Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole
• Nonlinear Interactions Between Gravitational Radiation and Modified Alfven Modes in Astrophysical Dusty Plasmas
• Transverse Wave Propagation in Relativistic Two-fluid Plasmas in de Sitter Space
• Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordström-de Sitter Black Hole