Density and positive mass theorems for initial data sets with boundary

Autor: Dan A. Lee, Martin Lesourd, Ryan Unger
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Popis: We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle the spacetime positive mass theorem, with rigidity, for initial data sets with apparent horizon boundary in dimensions less than $8$ without a spin assumption.
33 pages. Published version in Comm. Math. Phys
Databáze: OpenAIRE