Distinguishing Between Small Arkani-Hamed–Dimopoulos–Dvali and Randall-Sundrum Accelerator-Generated Black Holes

In models with extra dimensions that accommodate a TeV-scale gravity, small black holes could be produced in near future accelerator experiments. Such small black holes, whose gravitational radius is much smaller than the characteristic size of extra dimensions can be very well described by asymptotically flat solutions, thus losing the information about the global geometry of the extra manifold. One might conclude that such small black holes would be indistinguishable in different scenarios. We argue that important differences still exist, especially regarding experimental signature in colliders, which may help us distinguish between the various extra dimensional scenarios. The main differences come from the fact that most of the models with the warped extra dimension have an additional discrete $Z_2$ symmetry that makes the brane behave as if it were an infinite tension brane.

Figure 1

Because of the friction between the black hole and the brane, an ADD black hole loses bulk components of the angular momentum. Due to $Z_2$ symmetry, an RS black hole cannot have any bulk components of the angular momentum. $K_1$ and $K_2$ are the Killing vectors generating rotations around axis 1 and 2, respectively.

Figure 2

Recoil of a small RS black hole looks like a black hole splitting into two symmetric black holes in the mirror space. It is not possible to achieve this without violating either the conservation of energy or nondecreasing property of entropy.