Thomas–Fermi model in Rindler space

Abstract

In this paper, we have investigated the Thomas–Fermi model for the electron gas in Rindler space. We have observed that if the uniform acceleration is along [Formula: see text]-direction, then there is [Formula: see text]-symmetry in space. For the sake of mathematical simplicity, we have therefore assumed a two-dimensional spatial structure [Formula: see text] in Rindler space. It has been shown that in two-dimensional spatial coordinates, the electrons are distributed discontinuously but in a periodic manner in a number of rectangular strip-like domains along [Formula: see text]-direction. Some of them are having void structure, with no electrons inside such rectangular strips, while some are filled up with electrons. We call the latter type domain as the normal zone. We have also given physical interpretation for such exotic type electron distribution in Rindler space.