HEP Theory Journal Club

Lorentzian Einstein metrics with prescribed conformal infinity

Niky Kamran

I will outline the proof of a result which says that given any suitably small perturbation g of the conformal metric of the (n+1)-dimensional anti-de Sitter space at timelike infinity, there exists a Lorentzian Einstein metric on (-T,T)×Bⁿ, where Bⁿ denotes the n-ball, whose conformal geometry is given by g. This is a Lorentzian counterpart of the Graham-Lee theorem. This is joint work with Alberto Enciso (ICMAT, Madrid), arXiv:1412.4376.