A vector field method for radiating black hole spacetimes

Jesús Oliver; Jacob Sterbenz

doi:10.2140/apde.2020.13.29

Abstract

We develop a commuting vector field method for a general class of radiating spacetimes. The metrics we consider are modeled on those constructed from global nonlinear stability problems in general relativity, and our method provides sharp peeling estimates for solutions to both linear and (null form) nonlinear scalar fields.

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Jesús Oliver. Jacob Sterbenz. "A vector field method for radiating black hole spacetimes." Anal. PDE 13 (1) 29 - 92, 2020. https://doi.org/10.2140/apde.2020.13.29

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Received: 30 May 2017; Revised: 24 September 2018; Accepted: 29 December 2018; Published: 2020

First available in Project Euclid: 16 January 2020

zbMATH: 07171988

MathSciNet: MR4047641

Digital Object Identifier: 10.2140/apde.2020.13.29

Subjects:

Primary: 35L10

Keywords: local energy decay , vector field method , wave equation

Abstract

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