The vDVZ Discontinuity, DGP Gravity, and Cosmology

Details The vDVZ Discontinuity, DGP Gravity, and Cosmology The vDVZ Discontinuity, DGP Gravity, and Cosmology

Sep 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ijtp...46.2242d&link_type=abstract

International Journal of Theoretical Physics, Volume 46, Issue 9, pp.2242-2257

Physics

Scientific paper

We discuss some properties of the van Dam Veltman Zakharov (vDVZ) discontinuity in the Dvali Gabadadze Porrati (DGP also called brane-induced) gravity. This model exhibits a vDVZ discontinuity when linearized over a Minkowski background. However, one can show that this discontinuity disappears on general Friedmann Lemaître Robertson Walker space-times, when the radius of transition between 4D and 5D gravity is sent to infinity with respect to the background Hubble radius. This radius of transition plays for the brane-induced gravity model a rôle equivalent to the Compton wavelength of the graviton in a Pauli Fierz theory, as far as the vDVZ discontinuity is concerned. These results were obtained considering the Cauchy problem associated with linearized DGP model over a cosmological background and provide a novel way to address the issue of the vDVZ discontinuity, as well as to look at some properties of the DGP model. Some parts of the discussion have not been presented before and comments are also made on the issue of the growth of cosmological perturbations in the DGP model.

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