Linearized Analysis of the Dvali-Gabadadze-Porrati Brane Model

Abstract

We solve the Einstein equations in the Dvali-Gabadadze-Porrati model with a static, spherically symmetric matter distribution on the physical brane and obtain an exact expression for the gravitational field outside the source to the first order in the gravitational coupling. Although when confined on the physical brane this expression reproduces the correct 4D Newtonian potential for distances r_s << r << λ, where λ is a characteristic length scale of the model, it does not coincide with the standard linearized form of the 4D Schwarzschild metric. The solution reproduces the 5D Schwarzschild metric in the linearized approximation for r >> λ.

9 pages, plain Tex, no figures

References in corpus (4)

• Brane worlds
• Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model
• Possible Extensions of the 4-d Schwarzschild Horizon in the Brane World
• Linearized Gravity in Isotropic Coordinates in the Brane World

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• Black Hole Solutions in Braneworlds with Induced Gravity
• D-branes in Standard Model building, Gravity and Cosmology
• See-Saw Modification of Gravity
• Quest for Localized 4-D Black Holes in Brane Worlds. II : Removing the bulk singularities
• Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds
• The Schwarzschild solution in the DGP model
• Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
• DGP Brane as a Gravity Conductor
• Inflaton perturbations in brane-world cosmology with induced gravity
• Correspondence principle for a brane in Minkowski space and vector mesons
• Constrained Perturbative Expansion of the DGP Model
• Rotating Black Holes in Higher Dimensional Brane Worlds
• Brane World Black Rings
• A photon mass on the brane