The spacetime AdS2 x S2 is well known to arise as the `near horizon' geometry of the extremal Reissner-Nordstrom solution, and for that reason it has been studied in connection with the AdS/CFT correspondence. Here we consider asymptotically AdS2 x S2 spacetimes that obey the null energy condition (or a certain averaged version thereof). Supporting a conjectural viewpoint of Juan Maldacena, we show that any such spacetime must have a special geometry similar in various respects to AdS2 x S2, and under certain circumstances must be isometric to AdS2 x S2.
ASJC Scopus subject areas
- Physics and Astronomy(all)