The Schwarzschild solution in the DGP model

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

2003-11-07

arxiv.org/abs/hep-th/0311070v2

Mod.Phys.Lett.A19:2259-2266,2004

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; more straightforward derivation of perturbative expansion incl. an interpolating solution

Scientific paper

10.1142/S0217732304015555

We discuss the Schwarzschild solution in the Dvali-Gabadadze-Porrati (DGP) model. We obtain a perturbative expansion and find the explicit form of the lowest-order contribution. By keeping off-diagonal terms in the metric, we arrive at a perturbative expansion which is valid both far from and near the Schwarzschild radius. We calculate the lowest-order contribution explicitly and obtain the form of the metric both on the brane and in the bulk. As we approach the Schwarzschild radius, the perturbative expansion yields the standard four-dimensional Schwarzschild solution on the brane which is non-singular in the decoupling limit. This non-singular behavior is similar to the Vainshtein solution in massive gravity demonstrating the absence of the van Dam-Veltman-Zakharov (vDVZ) discontinuity in the DGP model.

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