Inflation Driven by Nonlinear Electrodynamics in Anisotropic Spacetime Ramy Fitrah Izzah (a), Chilwatun Nasiroh (a), Fiki Taufik Akbar (a*)
(a) Department of Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia
*ftakbar[at]itb.ac.id
Abstract
The well-known Big Bang theory has explained how the universe came into being. This extraordinary event caused the later universe to be accelerated by a scale factor \(a(t)\). However, standard Big Bang theory has had some problems that can not be explained, such as monopoles, horizons, and flatness. To solve this problem, a model of inflation in the early universe is needed. Recent studies show that nonlinear electrodynamics coupled with general relativity can describe the inflation of the universe. In this work, we consider a model of nonlinear electrodynamics in anisotropic spacetime. We derive the dynamical equation from the field equation of Einstein and the law of conservation of energy-momentum tensor. Then, we use the perturbation method to solve the dynamical equation of the universe and obtain the evolution of the non-singular scale factor with anisotropy parameter \(\epsilon\). Our result shows that in the model of nonlinear electrodynamics coupled to gravity in anisotropic spacetime, the universe can undergo an inflationary mechanism if \(\epsilon<1\). We perform a phase-space analysis of the inflationary model and a phase portrait is obtained in the presence of fixed points. We also show the absence of singularity in density and pressure using this model.
Keywords: inflation of universe, anisotropic spacetime, nonlinear electrodynamics model
