We study the emission of fermion and gauge boson degrees of freedom on the brane by a rotating higher-dimensional black hole. Using matching techniques, for the near-horizon and far-field regime solutions, we solve analytically the corresponding field equations of motion. From this, we derive analytical results for the absorption probabilities and Hawking radiation emission rates, in the low-energy and low-rotation case, for both species of fields. We produce plots of these, comparing them to existing exact numerical results with very good agreement. We also study the total absorption cross section and demonstrate that, as in the nonrotating case, it has a different behavior for fermions and gauge bosons in the low-energy limit, while it follows a universal behavior—reaching a constant, spin-independent, asymptotic value—in the high-energy regime.

• Received 16 July 2007

DOI:https://doi.org/10.1103/PhysRevD.76.104013