Anisotropic Inflation with General Potentials

TL;DR

This paper investigates how anisotropic features, or 'anisotropic hair', influence inflation models with vector and scalar fields, revealing that anisotropies are largely independent of potential types and extending analysis to multiple directions.

Contribution

It provides a general relationship between anisotropy levels and field fractions, and extends the study to multi-directional anisotropies, broadening understanding of anisotropic inflation.

Findings

Anisotropies are independent of the potential types.

Derived a general relation between anisotropy and field fractions.

Extended analysis to multi-directional anisotropies.

Abstract

Anomalies in recent observational data indicate that there might be some "anisotropic hair" generated in an inflation period. To obtain general information about the effects of this anisotropic hair to inflation models, we studied anisotropic inflation models that involve one vector and one scalar using several types of potentials. We determined the general relationship between the degree of anisotropy and the fraction of the vector and scalar fields, and concluded that the anisotropies behave independently of the potentials. We also generalized our study to the case of multi-directional anisotropies.