Flux vacua in DBI type Einstein-Maxwell theory

TL;DR

This paper explores compactification solutions in a DBI-type gravity theory with extra dimensions, analyzing Minkowski and de Sitter spacetimes with magnetic flux, revealing a minimum radius for the extra space independent of Newton's constant.

Contribution

It introduces new compactification solutions in a DBI-type Einstein-Maxwell framework and examines their properties, including a minimum radius for extra dimensions.

Findings

Existence of Minkowski and de Sitter solutions with S^2 extra space

Discovery of a minimum radius for the extra space independent of Newton's constant

Extension of solutions to higher-dimensional models

Abstract

We study compactification of extra dimensions in a theory of Dirac-Born-Infeld (DBI) type gravity. We investigate the solution for Minkowski spacetime with an $S^2$ extra space as well as that for de Sitter spacetime ($S^4$) with an $S^2$ extra space. They are derived by the effective potential method in the presence of the magnetic flux on the extra sphere. We also consider the higher dimensional generalization of the solutions. We find that, in a certain model, the radius of the extra space has a minimum value independent of the higher-dimensional Newton constant in weak-field limit.