Waves in General Relativistic Two-fluid Plasma around a Schwarzschild Black Hole

TL;DR

This paper investigates wave propagation in relativistic electron-positron and ion plasmas near a Schwarzschild black hole using two-fluid equations within the 3+1 formalism of general relativity, deriving local dispersion relations for different wave modes.

Contribution

It develops a relativistic two-fluid plasma model around a Schwarzschild black hole using the 3+1 formalism, deriving dispersion relations that incorporate gravitational effects.

Findings

Derived local dispersion relations for transverse and longitudinal waves.

Accounted for relativistic effects near the event horizon.

Extended previous special relativistic formulations to general relativity.

Abstract

Waves propagating in the relativistic electron-positron or ions plasma are investigated in a frame of two-fluid equations using the 3+1 formalism of general relativity developed by Thorne, Price and Macdonald (TPM). The plasma is assumed to be freefalling in the radial direction toward the event horizon due to the strong gravitational field of a Schwarzschild black hole. The local dispersion relations for transverse and longitudinal waves have been derived, in analogy with the special relativistic formulation as explained in an earlier paper, to take account of relativistic effects due to the event horizon using WKB approximation