Classifying diamagnetic states of plasma near Schwarzschild event horizon: Local approximation

We study the equilibrium magnetic field structure of relativistic hot fluid near the Schwarzschild black hole under the local approximation of background spacetime. The ratio between gravity modified Lagrange multiplier alpha(0)mu and characteristic skin depth lambda(f) turns out to be the determinant feature of the diamagnetic content in plasma. Plasmas near Schwarzschild event horizon show perfectly diamagnetic behavior, a state of zero generalized vorticity and helicity, when the ratio is zero and transitions into a non-diamagnetic state at a critical value of 2. The local approximation, in which space is cartesian, facilitates us to compare the result with its classical counterpart, and we find that the classical plasma decorrelation length mu (normalized to the skin depth) is stretched for smaller values of alpha(0). Also, the skin depth of the charged fluid can vary with temperature which is absent in classical plasma. (C) 2020 Elsevier B.V. All rights reserved.