Resumen:
The idea that spacetime may have more than four dimensions has become a standard assumption
in high energy physics. A natural extension of General Relativity in higher spacetime
dimensions that requires the same basic principles, namely, general covariance, second-order
equations for the metric and the conservation of stress-energy tensor, is known as Lovelock theory.
This theory possesses additional coupling constants that are not xed from rst principles.
Remarkably, in odd dimensions, for a precise tuning of these constants, the theory turns out to
be equivalently described as a gauge theory with Chern-Simons action.
It is in the context of Lovelock theory, that asymptotically Lifshitz wormholes and black
holes in vacuum are shown to exist in d = 2n + 1 > 7 dimensions. The coupling constants are
selected by requiring that all but one of their n maximally symmetric vacua are AdS spacetimes
of radius l and degenerate. The asymptotic behaviour of these solutions is described by Lifshitz
spacetimes with a dynamical exponent determined by a precise quotient of the curvature radii
of the maximally symmetric vacua and the nondegenerate one. Besides, the asymptotically
Lifshitz black hole possesses a xed Hawking temperature. Further analytic solutions, including
pure Lifshitz spacetimes with a nontrivial geometry at the spacelike boundary, and wormholes
that interpolate between asymptotically Lifshitz spacetimes with diferent dynamical exponents
are also shown to exist.