  In this thesis, we explore the possibility to define black hole mass in terms
of the Weyl tensor for the entire family of Lovelock-AdS gravity theories. The
level of degeneracy $k$ of the corresponding vacuum fixes the number of
curvatures that should appear in the energy formula. Therefore, the charge
expression which is a polynomial of maximal degree in the curvature, can be
consistently truncated to an order $k$ in the Weyl tensor. In particular, for
the maximally degenerate case in odd dimensions (Chern-Simons AdS) the
expression identically vanishes and the mass must come from the formula that,
in the other cases, produces the vacuum energy.
