Stability study of a model for the Klein-Gordon equation in Kerr space-time. II

DOI10.1016/S0034-4877(21)00059-8MaRDI QIDQ2236907

Miguel Alcubierre, Miguel Megevand, Horst Reinhard Beyer

Publication date: 26 October 2021

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00972

zbMATH Keywords

stabilityinstabilityKlein-Gordon equationKerr metricmassive scalar fieldKerr background

Mathematics Subject Classification ID

Partial differential equations (35-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
• Decay of solutions of the wave equation in the Kerr geometry
• Stability study of a model for the Klein-Gordon equation in Kerr space-time
• Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
• Quantitative mode stability for the wave equation on the Kerr spacetime
• On the stability of the massive scalar field in Kerr space-time
• Mode stability of the Kerr black hole
• Instability of Massive Scalar Fields in Kerr-Newman Spacetime
• On the stability of the Kerr metric

This page was built for publication: Stability study of a model for the Klein-Gordon equation in Kerr space-time. II