Flux vacua in DBI type Einstein-Maxwell theory

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.

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

References in corpus (9)

• Critical Gravity in Four Dimensions
• Conformal Gravity and Extensions of Critical Gravity
• Static Solutions for 4th order gravity
• Standard 4d gravity on a brane in six dimensional flux compactifications
• Unitarity analysis of general Born-Infeld gravity theories
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• General Relativity with small cosmological constant from spontaneous compactification of Lovelock theory in vacuum
• Restricting Fourth Order Gravity via Cosmology
• Higher order curvature terms in Born-Infeld type brane theories