If we assume a metric on the brane of Schwarzschild-like form, i.e., in Equation (143), then the general solution of the brane field equations is 
The solution (153) has the form of the general relativity Reissner–Nordström solution, but there is no electric field on the brane. Instead, the nonlocal Coulomb effects imprinted by the bulk Weyl tensor have induced a “tidal” charge parameter , where , since is the source of the bulk Weyl field. We can think of the gravitational field of being “reflected back” on the brane by the negative bulk cosmological constant . If we impose the small-scale perturbative limit () in Equation (40), we find that
The tidal-charge black hole metric does not satisfy the far-field correction to the gravitational potential, as in Equation (41), and therefore cannot describe the end-state of collapse. However, Equation (153) shows the correct 5D behaviour of the potential () at short distances, so that the tidal-charge metric could be a good approximation in the strong-field regime for small black holes.
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