Cylindrical solutions in braneworld gravity

Abstract

In this article we investigate exact cylindrically symmetric solutions to the modified Einstein field equations in the brane world gravity scenarios. It is shown that for the special choice of the equation of state $2U+P=0$ for the dark energy and dark pressure, the solutions found could be considered formally as solutions of the Einstein-Maxwell equations in 4-D general relativity.

12 pages, RevTex format, typos corrected and references added. Accepted for publication in PRD

References in corpus (10)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Einstein Equations on the 3-Brane World
• Black holes on the brane
• Cosmology of One Extra Dimension with Localized Gravity
• Brane-World Black Holes
• Cosmological dynamics on the brane
• Vacuum solutions of the gravitational field equations in the brane world model
• Gravitational Field Equations on and off a 3-Brane World
• Reformulation and Interpretation of SMS Braneworld

Cited by in corpus (2)

• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• Exploring Cylindrical Solutions in Modified f(G) Gravity