Preprints and Publications
Recent Preprints:
- Collingbourne, S, Holzegel, G, Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity, arXiv:2307.05458.
- Holzegel G, Kauffman, Ch, 2023, The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms, arXiv:2302.06387.
- Dafermos M, Holzegel G, Rodnianski I, Taylor M, 2022, Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes, arXiv:2212.14093.
- Dafermos M, Holzegel G, Rodnianski I, Taylor M, 2021, The non-linear stability of the Schwarzschild family of black holes, arXiv:2104.08222.
Publications:
Journal articles:
- Dafermos M, Holzegel G, Rodnianski I, A scattering theory construction of dynamical vacuum black holes , Journal of Differential Geometry , Vol 126 (2), Pages: 633-740
- Holzegel G, Kauffman Ch, 2023, The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms , Journal of Hyperbolic Differential Equations , Vol: 20 (4), Pages: 825-834
- Holzegel G, Shao A, 2023, The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes, Archive for Rational Mechanics and Analysis, Vol: 247.
- Graf O, Holzegel G, 2023, Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes, Classical and Quantum Gravity, Vol: 40.
- Holzegel G, Luk J, Smulevici J, Warnick C, 2020, Asymptotic properties of linear field equations in anti-de Sitter space, Communications in Mathematical Physics, Vol: 374, Pages: 1125-1178.
- Dafermos M, Holzegel G, Rodnianski I, 2019, Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case |a|≪M, Annals of PDE, Vol: 5, Pages: 1-118.
- Dafermos M, Holzegel G, Rodnianski I, 2019, The linear stability of the Schwarzschild solution to gravitational perturbations, Acta Mathematica, Vol: 222.
- Holzegel G, Shao A, 2017, Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries, Communications in Partial Differential Equations, Vol: 42, Pages: 1871-1922.
- Holzegel G, Shao A, 2016, Unique continuation from infinity in asymptotically anti-de Sitter spacetimes, Communications in Mathematical Physics, Vol: 347, Pages: 723-775.
- Holzegel G, 2016, Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric, Classical and Quantum Gravity, Vol: 33.
- Holzegel G, Klainerman S, Speck J, Wong W, 2016, Small-data shock formation in solutions to 3D quasilinear wave equations: An overview, Journal of Hyperbolic Differential Equations, Vol: 13.
- Holzegel G, Warnick CM, 2015, The Einstein-Klein-Gordon-AdS system for general boundary conditions, Journal of Hyperbolic Differential Equations, Vol: 12, Pages: 293-342.
- Holzegel G, Smulevici J, 2014, Quasimodes and a lower bound on the uniform energy decay rate for Kerr–AdS spacetimes, Analysis and PDE, Vol: 7, Pages: 1057-1090.
- Holzegel G, Warnick CM, 2014, Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes, Journal of Functional Analysis, Vol: 266, Pages: 2436-2485.
- Holzegel G, Smulevici J, 2013, Decay properties of Klein-Gordon fields on Kerr-AdS spacetimes, Communications on Pure and Applied Mathematics, Vol: 66, Pages: 1751-1802.
- Holzegel G, Smulevici J, 2013, Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system, Communications in Mathematical Physics, Vol: 317, Pages: 205-251.
- Holzegel G, 2012, Well-posedness for the massive equation on asymptotically anti-de-Sitter spacetimes, Journal of Hyperbolic Differential Equations, Vol: 9, Pages: 239-261.
- Holzegel G, Smulevici J, 2012, Self-gravitating Klein-Gordon fields in asymptotically anti-de Sitter spacetimes, Annales Henri Poincare, Vol: 13, Pages: 991-1038.
- Holzegel G, 2010, Stability and decay rates for the five-dimensional Schwarzschild metric under biaxial perturbations, Advances in Theoretical and Mathematical Physics, Vol: 14, Pages: 1245-1372.
- Holzegel G, 2010, On the massive wave equation on slowly rotating Kerr-AdS spacetimes, Communications in Mathematical Physics, Vol: 294, Pages: 169-197.
- Holzegel G, Schmelzer T, Warnick C, 2007, Ricci flows connecting Taub–Bolt and Taub–NUT metrics, Classical and Quantum Gravity, Vol: 24, Pages: 6201-6217.
- Dafermos M, Holzegel G, 2006, On the nonlinear stability of higher dimensional triaxial Bianchi-{IX} black holes, Advances in Theoretical and Mathematical Physics, Vol: 10, Pages: 503-523.
- Gibbons GW, Holzegel G, 2006, The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions, Classical and Quantum Gravity, Vol: 23, Pages: 6459-6478.
- Holzegel G, 2006, On the instability of Lorentzian Taub-NUT space, Classical and Quantum Gravity, Vol: 23, Pages: 3951-3962.
Miscellaneous:
Other:
- Holzegel, G, 2016, Gravitationswellen, Mitteilungen der Deutschen Mathematiker-Vereinigung, Vol: 24, Pages: 144-152
- Holzegel G, 2010, Ultimately Schwarzschildean spacetimes and the black hole stability problem, arXiv:1010.3216