Standing wave of massless dirac equation in anti-de sitter spacetimes

This paper explores the existence and properties of Dirac standing wave solutions in anti-de Sitter (AdS) spacetimes. Building on the framework of regular horizonless AdS geometries, we derive the Dirac equation with a massless term and demonstrate that the bounded tortoise coordinate leads to an effective infinite potential well. We outline the eigenvalue problem for normal modes, discuss how the angular quantum number [Formula: see text] shifts the eigenfrequencies, and present the methodology for numerical computation.