  The extension of the general relativity theory to higher dimensions, so that
the field equations for the metric remain of second order, is done through the
Lovelock action. This action can also be interpreted as the dimensionally
continued Euler characteristics of lower dimensions. The theory has many
constant coefficients apparently without any physical meaning. However, it is
possible, in a natural way, to reduce to two (the cosmological and Newton's
constant) these several arbitrary coefficients, yielding a restricted Lovelock
gravity. In this process one separates theories in even dimensions from
theories in odd dimensions. These theories have static black hole solutions. In
general relativity, black holes appear as the final state of gravitational
collapse. In this work, gravitational collapse of a regular dust fluid in even
dimensional restricted Lovelock gravity is studied. It is found that black
holes emerge as the final state for these regular initial conditions.
