Numerical Solutions of ideal two-fluid equations very closed to the event horizon of Schwarzschild black hole

Abstract

The 3+1 formalism of Thorne, Price and Macdonald has been used to derive the linear two-fluid equations describing transverse and longitudinal waves propagating in the two-fluid ideal collisionless plasmas surrounding a Schwarzschild black hole. The plasma is assumed to be falling in radial direction toward the event horizon. The relativistic two-fluid equations have been reformulate, in analogy with the special relativistic formulation as explained in an earlier paper, to take account of relativistic effects due to the event horizon. Here a WKB approximation is used to derive the local dispersion relation for these waves and solved numerically for the wave number k.

16 pages, 15 figures. arXiv admin note: text overlap with arXiv:0902.3766, arXiv:0807.4595

References in corpus (4)

• Observation of Incipient Black Holes and the Information Loss Problem
• Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-de Sitter Black Hole
• 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