A nonrelativistic limit for AdS perturbations

24 Dec 2018 Bizon Piotr Evnin Oleg Ficek Filip

The familiar $c\rightarrow \infty$ nonrelativistic limit converts the Klein-Gordon equation in Minkowski spacetime to the free Schroedinger equation, and the Einstein-massive-scalar system without a cosmological constant to the Schroedinger-Newton (SN) equation. In this paper, motivated by the problem of stability of Anti-de Sitter (AdS) spacetime, we examine how this limit is affected by the presence of a negative cosmological constant $\Lambda$... (read more)

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• GENERAL RELATIVITY AND QUANTUM COSMOLOGY
• ANALYSIS OF PDES