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

TL;DR

This paper derives and analyzes the behavior of transverse wave propagation, including Alfven and electromagnetic waves, in a relativistic two-fluid plasma near a Schwarzschild-anti-de Sitter black hole, accounting for gravitational effects.

Contribution

It reformulates the relativistic two-fluid equations to include gravitational effects of the black hole and negative cosmological constant, and derives the dispersion relations for wave propagation.

Findings

Numerical solutions for wave number k in the plasma

Dispersion relations for Alfven and electromagnetic waves

Effects of gravity on wave propagation characteristics

Abstract

The 3+1 formalism of Thorne and Macdonald has been used to derive the linear two-fluid equations for transverse waves in the plasma closed to the Schwarzschild-anti-de Sitter (SAdS) black hole. We reformulate the relativistic two-fluid equations to take account of gravitational effects due to the event horizon and negative cosmological constant and describe the set of simultaneous linear equations for the perturbations. Using a local approximation we investigate the one-dimensional radial propagation of Alfven and high frequency electromagnetic waves. We derive the dispersion relation for these waves and solve it for the wave number k numerically.