Transverse Wave Propagation in Relativistic Two-fluid Plasmas around Reissner-Nordstr\"{o}m-de Sitter Black Hole

TL;DR

This paper investigates the propagation of transverse electromagnetic waves, including Alfvén and high-frequency waves, in a relativistic two-fluid plasma near a Reissner-Nordström-de Sitter black hole, deriving dispersion relations through a 3+1 spacetime split.

Contribution

It introduces a reformulation of two-fluid equations in curved spacetime and analyzes wave propagation using a local approximation near a black hole.

Findings

Derived dispersion relations for waves in curved spacetime

Numerically solved wave number for specific conditions

Identified effects of black hole gravity on wave propagation

Abstract

The transverse electromagnetic waves propagating in a relativistic two-fluid plasma influenced by the gravitational field of the Reissner-Nordstr\"{o}m-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 Alfv\'{e}n and high frequency electromagnetic waves are investigated. The dispersion relation for these waves is obtained and solved numerically for the wave number.