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

TL;DR

This paper studies how transverse electromagnetic waves, including Alfvén and high-frequency waves, propagate in a plasma near a Schwarzschild-de Sitter black hole, considering relativistic and gravitational effects through derived dispersion relations.

Contribution

It derives the relativistic two-fluid equations in a Schwarzschild-de Sitter spacetime and numerically solves the dispersion relations for wave propagation.

Findings

Derived dispersion relations for waves in curved spacetime

Numerical solutions for wave number k

Insights into wave behavior near black holes

Abstract

We investigate transverse electromagnetic waves propagating in a plasma influenced by the gravitational field of the Schwarzschild-de Sitter black hole. Applying 3+1 spacetime split we derive the relativistic two-fluid equations to take account of gravitational effects due to the event 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. We derive the dispersion relation for these waves and solve it for the wave number $k$ numerically.