Research area B: Spaces and Operators
Unit B1: Smooth, singular and rigid spaces in geometry

Research area C: Models and Approximations
Unit C1: Evolution and asymptotics
Unit C4: Geometry-based modelling, approximation, and reduction

Further Projects
• The Black Hole Stability Problem and the Analysis of asymptotically anti-de Sitter spacetimes online

Current Cluster Publications of Prof. Dr. Gustav Holzegel

$\bullet $ Gustav Holzegel, Georgios Mavrogiannis, and Renato Velozo Ruiz. A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes. arXiv e-prints, March 2024. arXiv:2403.02533.

$\bullet $ Sam C. Collingbourne and Gustav Holzegel. Uniform boundedness for solutions to the Teukolsky equation on Schwarzschild from conservation laws of linearised gravity. arXiv e-prints, July 2023. arXiv:2307.05458.

$\bullet $ Gustav Holzegel and Arick Shao. The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes. Archive for Rational Mechanics and Analysis, 247(3):56, May 2023. doi:10.1007/s00205-023-01890-9.

$\bullet $ Gustav Holzegel and Christopher Kauffman. The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms. arXiv e-prints, February 2023. arXiv:2302.06387.

$\bullet $ Olivier Graf and Gustav Holzegel. Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes. Classical and Quantum Gravity, 40(4):045003, January 2023. doi:10.1088/1361-6382/acb0ac.

$\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes. arXiv e-prints, December 2022. arXiv:2212.14093.

$\bullet $ Olivier Graf and Gustav Holzegel. Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes. arXiv e-prints, May 2022. arXiv:2205.02801.

$\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. The non-linear stability of the Schwarzschild family of black holes. arXiv e-prints, April 2021. arXiv:2104.08222.

$\bullet $ Gustav Holzegel and Christopher Kauffman. A note on the wave equation on black hole spacetimes with small non-decaying first order terms. arXiv e-prints, May 2020. arXiv:2005.13644.

$\bullet $ Gustav Holzegel, Jonathan Luk, Jacques Smulevici, and Claude Warnick. Asymptotic properties of linear field equations in anti–de Sitter space. Comm. Math. Phys., 374(2):1125–1178, March 2020. doi:10.1007/s00220-019-03601-6.

$\bullet $ Mihalis Dafermos, Gustav Holzegel, and Igor Rodnianski. The linear stability of the Schwarzschild solution to gravitational perturbations. Acta Math., 222(1):1–214, April 2019. doi:10.4310/ACTA.2019.v222.n1.a1.

$\bullet $ Mihalis Dafermos, Gustav Holzegel, and Igor Rodnianski. Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: The case $|a| \ll m$. Ann. PDE, 5(1):2–2, January 2019. doi:10.1007/s40818-018-0058-8.