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.

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

References in corpus (2)

• Instabilities of Black Strings and Branes
• The Schwarzschild-de Sitter solution in five-dimensional general relativity briefly revisited

Cited by in corpus (2)

• Exact solutions of embedding the four-dimensional perfect fluid in a five- or higher-dimensional Einstein spacetime and the cosmological interpretations
• Black chain of pearls in 5D de Sitter spacetime