Flux vacua in DBI type Einstein-Maxwell theory

Details Flux vacua in DBI type Einstein-Maxwell theory Flux vacua in DBI type Einstein-Maxwell theory

2011-09-22

arxiv.org/abs/1109.4687v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figure. A reference added, typos fixed

Scientific paper

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.

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