Photon-graviton pair conversion

TL;DR

This paper investigates photon-graviton conversion as a four-wave mixing process, deriving coupled equations, scattering amplitudes, and exploring implications for the early Universe.

Contribution

It introduces a nonlinear coupled system for photon-graviton interactions and derives scattering amplitudes, providing new insights into their energy exchange mechanisms.

Findings

Derived coupled equations for photon-graviton interactions

Calculated scattering amplitudes and cross-sections

Discussed potential implications for early Universe physics

Abstract

We consider the conversion of gravitons and photons as a four-wave mixing process. A nonlinear coupled systems of equations involving two gravitons and two photons is obtained, and the energy exchange between the different degrees of freedom is found. The scattering amplitudes are obtained, from which a crossection for incoherent processes can be found. An analytical example is given, and applications to the early Universe are discussed.