Modified Gravity: living without Birkhoff I. DGP

Abstract

We consider the consequences of the absence of Birkhoff's theorem in theories of modified gravity. As an example, we calculate the gravitational force on a test particle due to a spherical mass shell in the Dvali-Gabadaze-Porrati model (DGP). We show that unlike in General Relativity, the force depends on the mass distribution. In particular, the gravitational force within a spherical mass shell depends on the geometric structure of the bulk, and is likely non-zero.

5 pages, 3 figures

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Cited by in corpus (12)

• The Vainshtein Mechanism in the Cosmic Web
• A simple proof of Birkhoff's theorem for cosmological constant
• Static spherically symmetric black holes in weak f(T)-gravity
• Aspects of Infrared Modifications of Gravity
• Scalar radiation from Chameleon-shielded regions
• On the equivalence between the effective cosmology and excursion set treatments of environment
• Cosmic backreaction and Gauss's law
• One-point probability distribution function from spherical collapse: Early Dark Energy (EDE) vs. $\Lambda$CDM
• Dwarf Galaxies without Dark Matter: constraints on Modified Gravity
• Non-linear density-velocity divergence relation from phase space dynamics
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Black hole solutions in the warped DGP braneworld