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

TL;DR

This paper studies how transverse electromagnetic waves, including Alfvén and high-frequency waves, propagate in a relativistic two-fluid plasma within de Sitter space, considering horizon effects and solving the dispersion relation numerically.

Contribution

It derives the relativistic two-fluid equations in de Sitter space using the 3+1 formalism and analyzes wave propagation with a local approximation, providing new insights into plasma behavior near horizons.

Findings

Numerical solutions of the dispersion relation reveal wave behavior influenced by the de Sitter horizon.

The study characterizes the propagation of Alfvén and electromagnetic waves in relativistic plasmas in curved spacetime.

Results highlight the impact of spacetime curvature on wave dispersion and stability.

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 Alfv\'en and high frequency electromagnetic waves and solve the dispersion relation for these waves numerically.