TY - JOUR
T1 - A Conformal Infinity Approach to Asymptotically AdS 2× Sn-1 Spacetimes
AU - Galloway, Gregory J.
AU - Graf, Melanie
AU - Ling, Eric
N1 - Funding Information:
GJG and MG would like to thank Paul Tod for previous communications in connection with reference [4 ]. The research of GJG was partially supported by the NSF under the Grant DMS-171080. Part of the work on this paper was supported by the Swedish Research Council under Grant No. 2016-06596, while GJG and EL were participants at Institut Mittag-Leffler in Djursholm, Sweden, during the Fall semester of 2019. Parts of this work were carried out while MG was at the University of T?bingen.
Funding Information:
GJG and MG would like to thank Paul Tod for previous communications in connection with reference []. The research of GJG was partially supported by the NSF under the Grant DMS-171080. Part of the work on this paper was supported by the Swedish Research Council under Grant No. 2016-06596, while GJG and EL were participants at Institut Mittag-Leffler in Djursholm, Sweden, during the Fall semester of 2019. Parts of this work were carried out while MG was at the University of Tübingen.
Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020/12
Y1 - 2020/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s00023-020-00958-6
DO - 10.1007/s00023-020-00958-6
M3 - Article
AN - SCOPUS:85092545870
VL - 21
SP - 4073
EP - 4095
JO - Annales Henri Poincare
JF - Annales Henri Poincare
SN - 1424-0637
IS - 12
ER -