Wormhole solutions in the Randall-Sundrum scenario

Abstract

In the simplest form of the Randall-Sundrum model, we consider the metric generated by a static, spherically symmetric distribution of matter on the physical brane. The solution to the five-dimensional Einstein equations, obtained numerically, describes a wormhole geometry.

10 pages, 2 figures, revtex4

References in corpus (14)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• 4D Gravity on a Brane in 5D Minkowski Space
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Linearized Gravity in Brane Backgrounds
• Possible wormholes in a brane world
• Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order
• Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model
• The Effective Energy-Momentum Tensor in Kaluza-Klein Gravity With Large Extra Dimensions and Off-Diagonal Metrics
• Brane-world cosmological perturbations: a covariant approach
• Higher Dimensional Analogue of McVittie Solution
• Geometrical features of (4+d) gravity

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