Analytic solution for a static black hole in RSII model

Understand

We present here a static solution for a large black hole (whose horizon radius is larger than the AdS radius) located on the brane in RSII model.

• According to some arguments based on the AdS/CFT conjecture, a solution for the black hole located on the brane in RSII model must encode quantum gravitational effects and therefore can not be static.
• We demonstrated that a static solution can be found if the bulk is not empty.
• The stress energy tensor of the matter distribution in the bulk for the solution we found is physical (i.e.