Abstract
We find an exact solution on the brane for a static black hole in the DGP model. In the appropriate limit we recover the two known solutions, the Schwarzschild and the Reissner–Nordström solutions with tidal charge. The solution has two branches, which correspond asymptotically to a de Sitter or flat Universe. Finally, we study the linear stability of the solutions. We find that the Regge–Wheeler and the Zerilli potential are positive and conclude on the stability.
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