New AdS solitons and brane worlds with compact extra-dimensions

Abstract

We construct new static, asymptotically AdS solutions where the conformal infinity is the product of Minkowski spacetime $M_n$ and a sphere $S^m$. Both globally regular, soliton-type solutions and black hole solutions are considered. The black holes can be viewed as natural AdS generalizations of the Schwarzschild black branes in Kaluza-Klein theory. The solitons provide new brane-world models with compact extra-dimensions. Different from the Randall-Sundrum single-brane scenario, a Schwarzschild black hole on the Ricci flat part of these branes does not lead to a naked singularity in the bulk.

28 pages, 4 figures

References in corpus (10)

• Instabilities of Black Strings and Branes
• Einstein-Yang-Mills black hole solution in higher dimensions by the Wu-Yang Ansatz
• Black string solutions with negative cosmological constant
• Gravity Dual of Gauge Theory on S^2 x S^1 x R
• On the stability of AdS black strings
• On the existence of a static black hole on a brane
• Black strings in AdS_5
• Self-gravitating Yang Monopoles in all Dimensions
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions

Cited by in corpus (4)

• Electric charge on the brane?
• An infinity of black holes
• Strongly-Coupled Quarks and Colorful Black Holes in AdS/CFT
• Charged and rotating Black AdS Branes in $n+p+2$ dimensions