New branch of Kaluza-Klein compactification

Abstract

We found a new branch of solutions in Freund-Rubin type flux compactifications. The geometry of these solutions is described as the external space which has a de Sitter symmetry and the internal space which is topologically spherical. However, it is not a simple form of dS_p x S^q but a warped product of de Sitter space and a deformed sphere. We explicitly constructed numerical solutions for a specific case with p=4 and q=4. We show that the new branch of solutions emanates from the marginally stable solution in the branch of dS_4 x S^4 solutions.

6 pages, 3 figures, REVTeX4;version accepted for publication in PRD

References in corpus (9)

• The evolution of unstable black holes in anti-de Sitter space
• On non-uniform black branes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Unbounded entropy in spacetimes with positive cosmological constant
• Can Inflating Braneworlds be Stabilized?
• Gravitational Instability of de Sitter Compactifications
• Cosmological Perturbations in Flux Compactifications
• Instability of de Sitter brane and horizon entropy in a 6D braneworld

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