  In the Randall-Sundrum two-brane model (RS1), a Kerr black hole on the brane
can be naturally identified with a section of rotating black string. To
estimate Kaluza-Klein (KK) corrections on gravitational waves emitted by
perturbed rotating black strings, we give the effective Teukolsky equation on
the brane which is separable equation and hence numerically manageable. In this
process, we derive the master equation for the electric part of the Weyl tensor
$E_{\mu\nu}$ which would be also useful to discuss the transition from black
strings to localized black holes triggered by Gregory-Laflamme instability.
