The Hubble parameters in the D-brane models

TL;DR

This paper investigates the Hubble parameters in D-brane models with dynamic embeddings, deriving conditions for their equality and relating them to background p-brane properties.

Contribution

It introduces a method to compute two Hubble parameters in D-brane models and analyzes conditions for their equality, linking to p-brane mass and charge.

Findings

Derived two Hubble parameters for D-branes with dynamic embeddings.

Identified conditions under which these parameters are equal.

Connected the equality condition to background p-brane mass and charge.

Abstract

We consider the DBI action for the D-branes with the dynamic embeddings in the background produced by p-branes. For the D-brane with the special topology we obtain two Hublle parameters on this brane. The condition for the equality of these parameters is analyzed. In the special case a mass and a charge of the background p-branes are derived from this condition.