caa a22 4500 463195736 CHVBK 20180406164922.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10773-007-9348-8 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9348-8 Deffayet Cédric APC, UMR7164, CNRS, Université Paris 7, CEA, Observatoire de Paris, Bâtiment Condorcet, 10, rue Alice Domon et Léonie Duquet, Cedex 13, 75205, Paris, France aut The vDVZ Discontinuity, DGP Gravity, and Cosmology [Elektronische Daten] [Cédric Deffayet] 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. Springer Science+Business Media, LLC, 2007 International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/9(2007-09-01), 2242-2257 0020-7748 46:9<2242 2007 46 10773 https://doi.org/10.1007/s10773-007-9348-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9348-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Deffayet Cédric APC, UMR7164, CNRS, Université Paris 7, CEA, Observatoire de Paris, Bâtiment Condorcet, 10, rue Alice Domon et Léonie Duquet, Cedex 13, 75205, Paris, France aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/9(2007-09-01), 2242-2257 0020-7748 46:9<2242 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer