Scalar field localization on deformed extra space

TL;DR

This paper explores how scalar fields can be localized on a deformed extra-dimensional space within f(R) gravity, leading to the formation of a brane-like defect whose properties depend on initial conditions, potentially explaining a small cosmological constant.

Contribution

It demonstrates the formation of a 4D brane from scalar field localization on a deformed extra space in f(R) gravity, linking initial conditions to brane properties and the cosmological constant.

Findings

A point-like brane forms from matter and metric interference.

The brane's energy-momentum depends on initial conditions.

The model allows for an arbitrarily small cosmological constant.

Abstract

Field localization on 2-dim extra space is considered in the framework of f(R) gravity. It is shown that an interference of local matter energy distribution and a metric of the extra space form a point-like defect - 4-dim brane. The energy-momentum of the brane depends on initial conditions that could lead to the cosmological $\Lambda$ term being arbitrarily small.