Anisotropic induced gravity and inflationary universe

TL;DR

This paper investigates the stability of anisotropic Kantowski-Sachs universes within higher derivative induced gravity, demonstrating conditions under which a de Sitter inflationary universe remains stable against anisotropic perturbations.

Contribution

It provides a detailed stability analysis showing how to achieve a stable inflationary universe in anisotropic higher derivative induced gravity models.

Findings

Existence of one stable and one unstable mode in the universe's evolution.

De Sitter background stability achieved with specific coupling constant constraints.

Inflationary universe can be stable against anisotropic perturbations.

Abstract

Existence and stability analysis of the Kantowski-Sachs type universe in a higher derivative induced gravity theory is studied in details. Existence of one stable mode and one unstable mode is shown to be in favor of the inflationary universe. As a result, the de Sitter background can be made to be stable against anisotropic perturbations with proper constraints imposed on the coupling constants of the induced gravity model.