  We give an example of an asymptotically $AdS_2\times S^2$ metric, in the
sense of \cite{GG}, which satisfies the Null Energy Condition but is not
exactly $AdS_2\times S^2$. It is therefore a counterexample to a conjecture of
Maldacena mentioned in \cite{GG}, but it does not satisfy field equations. In
an appendix we give an example admitting supercovariantly constant spinors as
in \cite{t1}, which is asymptotically $AdS_2\times S^2$ on one side only.
