RESEARCH > A brane in infinite-volume
The Schwarzschild solution in the DGP model
The five-dimensional (D=5) case is special and does not share all of the
features of higher-dimensional cases . In particular, the five-dimensional
model appears to be plagued by the van Dam-Veltman-Zakharov (vDVZ) discontinuity of massive gravity . This issue has attracted some attention
recently. In massive gravity the problem was solved by Vainshtein  who observed that one may obtain
a Schwarzschild solution to the non-linear Einstein equations (with a point source of mass
m) as two different expansions.
One expansion is valid in the large-r
regime and is obtained by linearizing
the field equations; the other expansion (leading to the Schwarzschild solution)
is valid in the small-r regime.
The two regions are separated by the length scale
64] where it was argued that the discontinuity can be avoided by bending the brane through a coordinate transformation. This bending can be large even if the matter sources are weak, leading to a breakdown of the standard linearization of the field equations at distances r << rc with rc given by (10).
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