On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Gudapati, Nishanth
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213522
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes. Nishanth Gudapati. SIGMA 21 (2025), 054, 72 pages

The lack of a positive-definite and conserved energy is a serious obstacle in the black hole stability problem. In this work, we will show that there exists a positive-definite and conserved Hamiltonian energy for axially symmetric linear perturbations of the exterior of Kerr black hole spacetimes....