Inflation Driven by Non-Linear Electrodynamics

Understand

We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density ${\cal L}_{\text{nled}} = - {F} f \left( {F} \right)$, where $f \left( {F}\right)$ is a general function depending on ${F}$.

• We first formulate an $f$-NLED cosmological model with a more general function $f \left( {F}\right)$ and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function $f \left( {F}\right)$.
• We present our phenomenological model based on a new Lagrangian for NLED.
• Solutions to the field equations with the physical properties of the cosmological parameters are obtained.