We study black holes in Randall-Sundrum models (RS1, RS2) with emphasis on RS2 (a positive-tension brane with orbifold symmetry), and address the issue of whether a small black hole on the brane will fall into the bulk.
We first give a new definition of mass-energy for asymptotically Randall-Sundrum spacetimes. We then derive the first law of black hole mechanics for static Randall-Sundrum black holes, including variations related to the AdS curvature length. This general first law contains new work terms, which can be interpreted as the change in the black hole's mass-energy due to changes in the external field associated with brane tension and orbifold image attraction.
We then develop a variational principle: for fixed apparent horizon area and AdS curvature length, instantaneously static initial data which extremizes the mass gives rise to a static solution. We use the variational principle to construct approximate initial data for static small RS2 black holes, and find two solutions: one (well-known) stable black hole on the brane, and one (new) unstable static black hole in the bulk, with a novel instability to translations transverse to the brane. We also find large orbifold binding energy of small black holes to the brane, which is a relevant issue for possible black hole production at colliders.
|Advisor:||Eardley, Douglas M.|
|Commitee:||Hartle, James B., Nelson, Harry N.|
|School:||University of California, Santa Barbara|
|School Location:||United States -- California|
|Source:||DAI-B 72/01, Dissertation Abstracts International|
|Keywords:||Black holes, Braneworlds, Randall-Sundrum models, Variational principles|
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