Estimates for the Maxwell field near the spatial and null infinity of the Schwarzschild spacetime

2008/02/28 by Juan A. Valiente Kroon, Kroon, Juan A. Valiente
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.0802.4145

32 pages

arxiv created 2008/02/28 · openalex publication_date 2008/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown how the gauge of the ``regular finite initial value problem at spacelike infinity'' can be used to construct a certain type of estimates for the Maxwell field propagating on a Schwarzschild background. These estimates are constructed with the objective of obtaining information about the smoothness near spacelike and null infinity of a wide class of solutions to the Maxwell equations.

Related

• On uniform decay of the Maxwell fields on black hole space-times
• The Case Against Smooth Null Infinity IV: Linearised Gravity Around Schwarzschild -- An Overview
• Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field
• Decay of the Maxwell field on the Schwarzschild manifold
• Decay of Solutions to the Maxwell Equations on Schwarzschild-de Sitter Spacetimes