Doubling of background solution in 5D stabilized brane world model

TL;DR

This paper explores a 5D stabilized brane world model that admits two distinct stationary background solutions with different brane metrics, emphasizing the need for fine-tuning to distinguish these solutions.

Contribution

It demonstrates the existence of two stationary solutions in a 5D brane model and highlights the fine-tuning required to differentiate them.

Findings

Two stationary background solutions with flat and dS4 metrics.

Fine-tuning of brane scalar potentials is necessary to separate solutions.

Both solutions share the same fundamental parameters.

Abstract

We discuss a model providing two different stationary background solutions with flat and $dS_{4}$ metric on the branes under the same values of the fundamental parameters. It is shown that only an additional fine-tuning of the brane scalar field potentials can provide a separation between two background solutions.