Anisotropic inflation with general potentials

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.

Gravitational baryogenesis after anisotropic inflation

“…(B23). The other approach to evaluate the maximal value by use of the higher-order expansion of the slow-roll parameter has been also given [35]. Our result is mostly the same as theirs.…”

“…In this Appendix, we derive an upper limit of the spacetime shear at the end of the anisotropic inflation by the semi-analytic approach (See also [35]).…”