Modified Gravity: living without Birkhoff I. DGP

Details Modified Gravity: living without Birkhoff I. DGP Modified Gravity: living without Birkhoff I. DGP

2007-09-27

arxiv.org/abs/0709.4391v2

Phys.Rev.D77:064016,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 3 figures

Scientific paper

10.1103/PhysRevD.77.064016

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.

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