Linearized Gravity about a Brane

Abstract

We use the Israel condition to treat carefully the weak-field perturbations due to the presence of matter on a 3-brane embedded between two regions of anti-de Sitter (AdS) space with different curvature lengths. A four dimensional Newton's Law only emerges at distances that are large compared to the AdS lengths. When a scalar curvature is included in the brane action, however, it is possible to generate a four dimensional theory of gravity even when one or both of the AdS lengths is large compared to distances along the brane. In particular, we provide an example in which the AdS lengths can be larger than the millimeter experimental bound.

18 pages, 1 figure, uses harvmac and pictex

References in corpus (9)

• 4D Gravity on a Brane in 5D Minkowski Space
• Gravity in the Randall-Sundrum Brane World
• Dynamics of Anti-de Sitter Domain Walls
• Linearized Gravity in Brane Backgrounds
• Brane Cosmologies without Orbifolds
• Consistent Linearized Gravity in Brane Backgrounds
• Geodesics and Newton's Law in Brane Backgrounds
• Randall-Sundrum Gauge in the Brane World
• Metric Fluctuations in Brane Worlds

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