(De)coupling Limit of DGP

Abstract

We investigate the decoupling limit in the DGP model of gravity by studying its nonlinear equations of motion. We show that, unlike 4D massive gravity, the limiting theory does not reduce to a sigma model of a single scalar field: Non-linear mixing terms of the scalar with a tensor also survive. Because of these terms physics of DGP is different from that of the scalar sigma model. We show that the static spherically-symmetric solution of the scalar model found in hep-th/0404159, is not a solution of the full set of nonlinear equations. As a consequence of this, the interesting result on hidden superluminality uncovered recently in the scalar model in hep-th/0602178, is not applicable to the DGP model of gravity. While the sigma model violates positivity constraints imposed by analyticity and the Froissart bound, the latter cannot be applied here because of the long-range tensor interactions that survive in the decoupling limit. We discuss further the properties of the Schwarzschild solution that exhibits the gravitational mass-screening phenomenon.

14 pages; v2: typos corrected, footnote added, to apppear in PLB

References in corpus (4)

• Causality, Analyticity and an IR Obstruction to UV Completion
• Schwarzschild solution in brane induced gravity
• Infrared Modification of Gravity
• Localized gravity in non-compact superstring models

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• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
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• Perturbations of Self-Accelerated Universe
• Domain Walls As Probes Of Gravity
• Cargese Lectures on Brane Induced Gravity
• Bubbles in the Self-Accelerating Universe
• Mass Screening in Modified Gravity
• A Model for Cosmic Self-Acceleration
• Strong Coupling Holography
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography