Exact Solution of Photon Equation in Stationary G\"{o}del-type and G\"{o}del Space-Times

TL;DR

This paper derives and solves exactly the photon equation in stationary G"{o}del-type and G"{o}del space-times, revealing harmonic oscillator behavior and determining the photon energy spectrum in these curved spacetimes.

Contribution

It provides the first exact solutions of the photon (massless DKP) equation in G"{o}del-type and G"{o}del space-times, including analysis of harmonic oscillator behavior.

Findings

Solutions exhibit harmonic oscillator characteristics.

Photon energy spectrum is explicitly obtained.

Exact analytical solutions are presented.

Abstract

In this work the photon equation (massless Duffin-Kemmer-Petiau equation) is written expilicitly for general type of stationary G\"{o}del space-times and is solved exactly for G\"{o}del-type and G\"{o}del space-times. Harmonic oscillator behaviour of the solutions is discussed and energy spectrum of photon is obtained.