Inflaton in anisotropic higher derivative gravity

TL;DR

This paper investigates the stability of anisotropic inflationary universes within higher derivative scalar-tensor gravity, demonstrating conditions under which isotropic de Sitter space remains stable during and after inflation.

Contribution

It provides a detailed stability analysis of anisotropic Kantowski-Sachs universes in higher derivative gravity, highlighting conditions for stable isotropic de Sitter solutions.

Findings

Isotropic de Sitter space is stable against anisotropic perturbations during inflation.

Stability in the post-inflation era depends on specific coupling constants.

The analysis supports the viability of isotropic inflationary models in higher derivative gravity.

Abstract

Existence and stability analysis of the Kantowski-Sachs type inflationary universe in a higher derivative scalar-tensor gravity theory is studied in details. Isotropic de Sitter background solution is shown to be stable against any anisotropic perturbation during the inflationary era. Stability of the de Sitter space in the post inflationary era can also be realized with proper choice of coupling constants.