A Conformal Infinity Approach to Asymptotically AdS 2× Sn-1 Spacetimes

Gregory J. Galloway, Melanie Graf, Eric Ling

Research output: Contribution to journalArticlepeer-review

Abstract

It is well known that the spacetime AdS 2× S2 arises 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. Motivated by a conjectural viewpoint of Juan Maldacena, Galloway and Graf (Adv Theor Math Phys 23(2):403–435, 2019) studied the rigidity of asymptotically AdS 2× S2 spacetimes satisfying the null energy condition. In this paper, we take an entirely different and more general approach to the asymptotics based on the notion of conformal infinity. This involves a natural modification of the usual notion of timelike conformal infinity for asymptotically anti-de Sitter spacetimes. As a consequence, we are able to obtain a variety of new results, including similar results to those in Galloway and Graf (2019) (but now allowing both higher dimensions and more than two ends) and a version of topological censorship.

Original languageEnglish (US)
Pages (from-to)4073-4095
Number of pages23
JournalAnnales Henri Poincare
Volume21
Issue number12
DOIs
StatePublished - Dec 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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