Perturbative methods of solution for black holes and black strings in braneworld models

In this thesis we use perturbative methods to solve the gravitational field equations to construct solutions that describe black branes in Randall-Sundrum (RS) and Arkani-Hamed - Dimopoulos - Dvali (ADD) braneworld models.; In the ADD model we consider a black hole localized on the visible brane with a hori-zon radius smaller than the compactified dimension and calculate the corrections due to the compactification. Performing a similar calculation in the RS model we show that the existence of a black hole implies an asymptotic spacetime that depends on half-integer powers of the mass.; We also construct solutions that describe black branes in Einstein-Gauss-Bonnet (EGB) gravity.; In all cases we calculate important thermodynamical properties and investigate the stability of the solutions.