Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds

2013/05/22 by Jacob Sterbenz, Daniel Tataru, Sterbenz, Jacob +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1305.5261

v2. Added some references. Improved exposition and one new diagram. Journal version

openalex publication_date 2013/05/22 · arxiv created 2014/05/22 · arxiv updated 2014/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove local energy decay estimates for solutions to the inhomogeneous Maxwell system on a generic class of spherically symmetric black holes.

Citations

• Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem

Cited by

• The Maxwell equations on full sub-extremal and extremal Kerr spacetimes

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