Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordström-de Sitter Black Hole

Abstract

The transverse electromagnetic waves propagating in a relativistic two-fluid plasma influenced by the gravitational field of the Reissner-Nordström-de Sitter black hole has been investigated exploiting 3+1 split of spacetime. Reformulating the two-fluid equations, the set of simultaneous linear equations for the perturbations have been derived. Using a local approximation, the one-dimensional radial propagation of Alfvén and high frequency electromagnetic waves are investigated. The dispersion relation for these waves is obtained and solved numerically for the wave number.

22 pages, 8 figures

References in corpus (5)

• Observation of Incipient Black Holes and the Information Loss Problem
• The Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
• GMSW as a detector of gravitational waves
• 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

Cited by in corpus (3)

• Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole
• Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Schwarzschild-anti-de Sitter Black Hole
• Numerical Solutions of ideal two-fluid equations very closed to the event horizon of Schwarzschild black hole