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arXiv · 2508.08936

Spontaneous charge separation in accelerating relativistic plasmas

Lorenzo Gavassino
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Abstract

The Stewart-Tolman effect posits that accelerating conductors exhibit both charge separation and rest-frame electric fields (``inertia of charge''), while the Ehrenfest-Tolman effect states that acceleration induces temperature gradients (``inertia of heat''). We study the interplay of these effects in thermodynamic equilibrium. Specifically, we derive from first principles a partial differential equation governing the electrothermal stratification of a fully ionized plasma in equilibrium under irrotational relativistic accelerations in curved spacetime. We then solve it in two settings: a plasma enclosed in a uniformly accelerated box, and a plasma shell suspended above a black hole horizon. The resulting electric fields are found not to depend on the electric conductivity of the medium.

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Lorenzo Gavassino. 2025-08-12. Spontaneous charge separation in accelerating relativistic plasmas. https://doi.org/10.1103/3hky-j4gp

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