  Spacetime wormholes are evidently an essential component of the construction
of a time machine. Within the context of general relativity, such objects
require, for their formation, exotic matter -- matter that violates at least
one of the standard energy conditions. Here, we explore the possibility that
higher-curvature gravity theories might permit the construction of a wormhole
without any matter at all. In particular, we consider the simplest form of a
generalized quasi topological theory in four spacetime dimensions, known as
Einsteinian Cubic Gravity. This theory has a number of promising features that
make it an interesting phenomenological competitor to general relativity,
including having non-hairy generalizations of the Schwarzschild black hole and
linearized equations of second order around maximally symmetric backgrounds. By
matching series solutions near the horizon and at large distances, we find
evidence that strong asymptotically AdS wormhole solutions can be constructed,
with strong curvature effects ensuring that the wormhole throat can exist.
