Transverse Wave Propagation in Relativistic Two-fluid Plasmas in de Sitter Space

Abstract

We investigate transverse electromagnetic waves propagating in a plasma in the de Sitter space. Using the 3+1 formalism we derive the relativistic two-fluid equations to take account of the effects due to the horizon and describe the set of simultaneous linear equations for the perturbations. We use a local approximation to investigate the one-dimensional radial propagation of Alfvén and high frequency electromagnetic waves and solve the dispersion relation for these waves numerically.

19 pages, 12 figures

References in corpus (2)

• Observation of Incipient Black Holes and the Information Loss Problem
• Nonlinear Interactions Between Gravitational Radiation and Modified Alfven Modes in Astrophysical Dusty Plasmas

Cited by in corpus (4)

• Interaction between gravitational waves and plasma waves in the Vlasov description
• 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