About evaluation of radius of compactification and vacuum energy in the Randall-Sundrum model

TL;DR

This paper investigates the radius of the extra dimension and vacuum energy in the Randall-Sundrum model, deriving an equation that links these to the cosmological constant and Planck mass, highlighting a unique dependence of vacuum energy on the extra dimension.

Contribution

The study introduces an effective five-dimensional action approach to derive a new equation for the radius, revealing its dependence on vacuum energy and the model's parameters, without a traditional RS limit.

Findings

Derived an equation relating radius and cosmological parameters

Found vacuum energy depends on the radius of the extra dimension

Identified the model does not have a standard RS limit

Abstract

Using the base of the RS-model by introducing effective terms in common five-dimensional action an equation for radius of fifth dimension through cosmological constant and Planck mass was defined. Such a model have not a RS limit cause of the dependence vacuum energy from radius of additional dimension.