Domain wall in $f(R)$ gravity

TL;DR

This paper investigates the gravitational effects of domain walls within $f(R)$ gravity, identifying a stable $f(R)$ function and suggesting that such walls could induce topological inflation.

Contribution

It derives a specific stable $f(R)$ function and explores the potential of domain walls to trigger topological inflation in modified gravity.

Findings

Identified a stable $f(R)$ function satisfying stability conditions.

Showed domain walls could lead to topological inflation.

Analyzed gravitational effects inside and outside domain walls.

Abstract

The gravitational impact inside and outside of a domain wall is studied in the context of $f(R)$ gravity theory. The function $f(R)$ is found which satisfies the stability conditions. Our results imply that the domain wall may cause topological inflation.