The Schwarzschild solution in the DGP model
arXiv:hep-th/0311070 · doi:10.1142/S0217732304015555
Abstract
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.
10 pages; more straightforward derivation of perturbative expansion incl. an interpolating solution
References in corpus (3)
Cited by in corpus (15)
- The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
- DGP Specteroscopy
- Ghosts in the self-accelerating universe
- Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
- Non-linear interactions in a cosmological background in the DGP braneworld
- Late acceleration and crossing in induced gravity
- Schwarzschild solution in brane induced gravity
- Unexorcized ghost in DGP brane world
- Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
- Charged Black Holes on DGP Brane
- Kerr-Newman-de Sitter Solution on DGP Brane
- Higher Curvature Brane Corrections to the DGP Model
- Constrained Perturbative Expansion of the DGP Model
- Charged Rotating Black Holes on DGP Brane
- Black hole solutions in the warped DGP braneworld