TL;DR
This paper presents an exact static black hole solution in the DGP brane model, recovering known solutions in certain limits, analyzing stability, and deriving perturbations related to rotating black holes.
Contribution
It provides the first exact static black hole solution on the brane in the DGP model, including stability analysis and perturbation characterization.
Findings
Recovered Schwarzschild and Reissner-Nordstrom solutions in limits
Found two solution branches with different asymptotic behaviors
Established stability through positive Regge-Wheeler and Zerilli potentials
Abstract
We find an exact solution on the brane for static black hole in the DGP model. In the appropriate limit we recover the 2 known solutions, the Schwarzschild and the Reissner-Nordstrom solutions with tidal charge. The solution has 2 branches, which correspond asymptotically to de-Sitter or flat Universe. Also we study the linear stability of the solutions. We find that the Regge-Wheeler and the Zerilli potential are positive. Finally the dipole perturbation is derived which corresponds to a linearization of a rotating black hole solution on the brane.
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