  In this thesis we investigate black holes in the Randall-Sundrum braneworld
scenario. We begin with an overview of extra-dimensional physics, from the
original proposal of Kaluza and Klein up to the modern braneworld picture of
extra dimensions. A detailed description of braneworld gravity is given, with
particular emphasis on its compatibility with experimental tests of gravity. We
then move on to a discussion of static, spherically symmetric braneworld black
hole solutions. Assuming an equation of state for the ``Weyl term'', which
encodes the effects of the extra dimension, we are able to classify the general
behaviour of these solutions. We then use the strong field limit approach to
investigate the gravitational lensing properties of some candidate braneworld
black hole solutions. It is found that braneworld black holes could have
significantly different observational signatures to the Schwarzschild black
hole of standard general relativity. Rotating braneworld black hole solutions
are also discussed, and we attempt to generate rotating solutions from known
static solutions using the Newman-Janis complexification ``trick''.
