Dirac current in expanding spacetime

Abstract

We study the behaviour of Dirac current in expanding spacetime with Schrödinger and de Sitter form for the evolution of the scale-factor. The study is made to understand the particleantiparticle rotation and the evolution of quantum vacuum leading to particle production in such spacetime.

Spin-1 particle in an electrical field in (1 + 1)-dimensional Schrödinger spacetime

“…An interesting point to be discussed here is that although the zeroth component of the current density preserves its sign, the first component has positive and negative values in accordance with the choice of the sign of k x and e. The spatial component of the current is used to determine whether there is particle creation or not. To analyse this case we follow the cWKB method proposed by Sarkar et al [39]. In this method, the numerical analysis of the current components is considered to understand the current components qualitatively.…”