A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes
Abstract
We present short proofs of integrated local energy decay estimates on Schwarzschild, extremal Reissner-Nordström, and Schwarzschild-de Sitter spacetimes. The proofs employ novel global physical space multipliers, which, besides their remarkable simplicity (a) are directly derivable from the geodesic flow, (b) do not require decomposition into spherical harmonics, and (c) whose boundary terms can be controlled by the conserved T-energy alone. We also elaborate on the intimate connection between the multipliers of the present paper and the globally good commutators introduced in Holzegel and Kauffman (J Hyperbolic Differ Equ 20(4):825-834, 2023) and Mavrogiannis (Ann Henri Poincaré 24(9):3113-3152, 2023).
Read the paper
Related studies
- A Survey on Knowledge Graphs: Representation, Acquisition, and Applications
- Toxicity of nanomaterials
- The Human Gene Mutation Database: towards a comprehensive repository of inherited mutation data for medical research, genetic diagnosis and next-generation sequencing studies
- Halogen bonding (X‐bonding): A biological perspective
- Biofilm formation at the air–liquid interface by the Pseudomonas fluorescens SBW25 wrinkly spreader requires an acetylated form of cellulose
- Opioid Activation of Toll-Like Receptor 4 Contributes to Drug Reinforcement
Go deeper in Evidence Hub
Evidence Hub adds a study data sheet (design, sample size, evidence level, key numbers), an AI summary and a chat grounded in the paper's text.