Black hole non-modal linear stability: the Schwarzschild (A)dS cases

DOI10.1088/0264-9381/33/20/205005zbMath1353.83017arXiv1603.03749OpenAlexW3100113303MaRDI QIDQ2834278

Gustavo Dotti

Publication date: 28 November 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03749

zbMATH Keywords

linear stabilitynegative cosmological constantblack holesSchwarzschildKerr black holeanti de Sitter black holemeasurable effects of perturbationsnon-modal approach

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes ⋮ Gauge-invariant description of weak gravitational field on a spherically symmetric background with cosmological constant ⋮ Theoretical cosmology ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations

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