The Schwarzschild solution in the DGP model

Details The Schwarzschild solution in the DGP model The Schwarzschild solution in the DGP model

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..apr.d8005m&link_type=abstract

American Physical Society, April Meeting, 2004, May 1-4, 2004, Denver, Colorado April 2004, MEETING ID: APR04, abstract #D8.005

Physics

Scientific paper

We discuss the Schwarzschild solution in the Dvali-Gabadadze-Porrati (DGP) model. We obtain two different perturbative expansions which are valid in two distinct domains, respectively, separated by a critical radius. We show that this critical radius can be determined by the lowest-order contributions to the two perturbative expansions. At large distances, the solution is the standard solution of the linearized Einstein equations obtained by DGP. At distances below the critical radius on the brane, the perturbative expansion yields the four-dimensional Schwarzschild solution. This is similar to the Vainshtein solution in massive gravity demonstrating the absence of the van Dam-Veltman-Zakharov (vDVZ) discontinuity.

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