Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes

Autor:	Taira, Kouichi
Rok vydání:	2021
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology Mathematics - Analysis of PDEs Mathematics - Differential Geometry 35L05 53C22
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-022-01517-2
Popis:	In this note, we study a geometric property of asymptotically Minkowski spacetimes and an analytic property of the Klein-Gordon operator. Precisely, our first main results show that asymptotically Minkowski spacetimes are geodesically complete under a null non-trapping condition. Secondly, we prove that Sobolev index of a real principal type estimate used in the previous work is actually optimal.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.10509 Zobrazit plný text záznamu View this record from Arxiv