Abstract
We present a brief review on gravity in brane world. We mainly focus on the Randall‐Sundrum (RS) infinite brane world and Dvali‐Gabadadze‐Porrati (DGP) brane world. Our interest is in non‐linear effect in respective models. In RS model, in particular, we focus on the aspect related to the AdS/CFT correspondence. Based on the AdS/CFT correspondence, a conjecture made that black holes may evaporate in a classical manner in this setup. Following this conjecture, we also mention the developments in constructing the initial data and the solutions for static black holes localized on the brane numerical. As for DGP model, it is known that this model has self‐acceleration branch. However, this cosmological solution contains a spin‐2 ghost. We study the possibility of avoiding the appearance of the ghost by slightly modifying the model, introducing the second brane. We find that one can erase the spin‐2 ghost, but this can be achieved only at the expense of the appearance of a spin‐0 ghost instead. We also discuss whether spin‐2 ghost is really harmful or not.
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