Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation

Abstract

We present some exact non-uniform black string solutions of 5-dimensional pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary dilaton coupling. The solutions share the common property that their 4-dimensional slices are Schwarzchild-(anti-)de Sitter spacetimes. The pure gravity solution is also generalized to spacetimes of dimensions higher than 5 to get non-uniform black branes.

arXiv commentLaTeX 14 pages, 3 eps figures. V2: version appeared in CQG

References in corpus (16)

• An Alternative to Compactification
• Black Strings and p-Branes are Unstable
• Locally Localized Gravity
• Brane-World Black Holes
• Fate of the Black String Instability
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Instability of charged black holes in anti-de Sitter space
• Black string instabilities in anti-de Sitter space
• Towards the Final Fate of an Unstable Black String
• Black Rings, Boosted Strings and Gregory-Laflamme
• Stable Black Strings in Anti-de Sitter Space
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Radionic Non-uniform Black Strings
• On the Stability of Black Strings/Branes
• The Schwarzschild-de Sitter solution in five-dimensional general relativity briefly revisited

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