Rigidity of asymptotically AdS2 x S2 spacetimes

Gregory J. Galloway, Melanie Graf

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)403-435
Number of pages33
JournalAdvances in Theoretical and Mathematical Physics
Volume23
Issue number2
DOIs
StatePublished - 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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