The McVittie solution with a negative cosmological constant
  Whereas current cosmological observations suggest that the universe is
dominated by a positive cosmological constant ($\Lambda > 0$), the AdS/CFT
correspondence tells us that the case $\Lambda<0$ is still worthy of
consideration. In this paper we study the McVittie solution with $\Lambda<0$.
Following a related study, the solution is understood here by way of a
systematic construction of conformal diagrams based on detailed numerical
integrations of the null geodesic equations. As in the pure Robertson - Walker
case, we find that $\Lambda<0$ ensures collapse to a Big Crunch, a feature
which completely dominates the global structure.
