• 2024
• 2023
• 2022
• 2021
• 2020
• 2019
• 2017
• 2016
• 2015
• 2014
• 2013
• 2012
• 2010
• 2007
• 2006

2024

• Collingbourne, Sam C., und Holzegel, Gustav. 2024. „Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity.“ Communications in Mathematical Physics, Nr. 405 138. doi: 10.1007/s00220-024-04999-4.
• Dafermos, M, Holzegel, G, und Rodnianski, I. 2024. „A scattering theory construction of dynamical vacuum black holes.“ Journal of Differential Geometry, Nr. 126 (2): 633–740. doi: 10.4310/jdg/1712344221.

2023

• Holzegel, Gustav, und Shao, Arick. 2023. „The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes.“ Archive for Rational Mechanics and Analysis, Nr. 247 (3) 56. doi: 10.1007/s00205-023-01890-9.
• Graf, Olivier, und Holzegel, Gustav. 2023. „Mode stability results for the Teukolsky equations on Kerr-anti-de Sitter spacetimes.“ Classical and Quantum Gravity, Nr. 40 (4) 045003. doi: 10.1088/1361-6382/acb0ac.
• Holzegel, G, und Kauffman, C. 2023. „The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms.“ arXiv doi: 10.48550/arXiv.2302.06387.
• Holzegel, Gustav. 2023. „The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms.“ Journal of Hyperbolic Differential Equations, Nr. 20 (4): 825–834. doi: 10.1142/S0219891623500273.

2022

• Dafermos, M, Holzegel, G, Rodnianski, I, und Taylor, M. 2022. „Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes.“ arXiv doi: 10.48550/arXiv.2212.14093.

2021

• Dafermos, M, Holzegel, G, Rodnianski, I, und Taylor, M. 2021. „The non-linear stability of the Schwarzschild family of black holes.“ arXiv doi: 10.48550/arXiv.2104.08222.

2020

• Holzegel, G, und Kauffman, C. 2020. „A note on the wave equation on black hole spacetimes with small non-decaying first order terms.“ arXiv doi: 10.48550/arXiv.2005.13644.
• Holzegel, Gustav, Luk, Jonathan, Smulevici, Jacques, und Warnick, Claude. 2020. „Asymptotic properties of linear field equations in anti-de Sitter space.“ Communications in Mathematical Physics, Nr. 374: 1125–1178. doi: 10.1007/s00220-019-03601-6.

2019

• Dafermos, Mihalis, Holzegel, Gustav, und Rodnianski, Igor. 2019. „The linear stability of the Schwarzschild solution to gravitational perturbations.“ Acta Mathematica, Nr. 222 (1): 1–214. doi: 10.4310/ACTA.2019.v222.n1.a1.
• Dafermos, Mihalis, Holzegel, Gustav, und Rodnianski, Igor. 2019. „Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case |a|≪M.“ Annals of PDE, Nr. 5: Paper No. 2, 118. doi: 10.1007/s40818-018-0058-8.

2017

• Holzegel, G, und Shao, A. 2017. „Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries.“ Communications in Partial Differential Equations, Nr. 42 (12): 1871–1922. doi: 10.1080/03605302.2017.1390677.

2016

• Holzegel, G, Klainerman, S, Speck, J, und Wong, W. 2016. „Small-data shock formation in solutions to 3D quasilinear wave equations: An overview.“ Journal of Hyperbolic Differential Equations, Nr. 13 (1): 1–105. doi: 10.1142/S0219891616500016.
• Holzegel, Gustav, und Shao, Arick. 2016. „Unique continuation from infinity in asymptotically anti-de Sitter spacetimes.“ Communications in Mathematical Physics, Nr. 347 (3): 723–775. doi: 10.1007/s00220-016-2576-0.
• Speck, Jared, Holzegel, Gustav, Luk, Jonathan, und Wong, Willie. 2016. „Stable Shock Formation for Nearly Simple Outgoing Plane Symmetric Waves.“ Annals of PDE, Nr. 2 (2) 10. doi: 10.1007/S40818-016-0014-4.
• Holzegel, Gustav. 2016. „Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric.“ Classical and Quantum Gravity, Nr. 33 (20): 205004. doi: 10.1088/0264-9381/33/20/205004.

2015

• Holzegel, G, und Warnick, C. 2015. „The Einstein–Klein–Gordon–AdS system for general boundary conditions.“ Journal of Hyperbolic Differential Equations, Nr. 12 (2): 293–342. doi: 10.1142/S0219891615500095.

2014

• Holzegel, G, und Smulevici, J. 2014. „Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes.“ Analysis and PDE, Nr. 7 (5): 1057–1090. doi: 10.2140/apde.2014.7.1057.
• Holzegel, G, und Warnick, C. 2014. „Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes.“ Journal of Functional Analysis, Nr. 226 (4): 2436–2485. doi: 10.1016/j.jfa.2013.10.019.

2013

• Holzegel, G, und Smulevici, J. 2013. „Stability of Schwarzschild-AdS for the sphericallysymmetric Einstein-Klein-Gordon system.“ Communications in Mathematical Physics, Nr. 317: 205–251. doi: 10.1007/s00220-012-1572-2.
• Holzegel, G, und Smulevici, J. 2013. „Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes.“ Communications on Pure and Applied Mathematics, Nr. 66 (11): 1751–1802. doi: 10.1002/cpa.21470.

2012

• Holzegel, G, und Smulevici, J. 2012. „Self-gravitating Klein–Gordon fields in asymptotically anti-de Sitter spacetimes.“ Annales Henri Poincare, Nr. 13: 991–1038. doi: 10.1007/s00023-011-0146-8.
• Holzegel, G. 2012. „Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes.“ Journal of Hyperbolic Differential Equations, Nr. 9 (2): 239–261. doi: 10.1142/S0219891612500087.

2010

• Holzegel, G. 2010. „Stability and decay rates for the five-dimensional Schwarzschild metric under biaxial perturbations.“ Advances in Theoretical and Mathematical Physics, Nr. 14 (5): 1245–1372. doi: 10.4310/ATMP.2010.v14.n5.a1.
• Holzegel, G. 2010. „On the massive wave equation on slowly rotating Kerr-AdS spacetimes.“ Communications in Mathematical Physics, Nr. 294: 169–197. doi: 10.1007/s00220-009-0935-9.

2007

• Holzegel, G, Schmelzer, T, und Warnick, C. 2007. „Ricci flows connecting Taub–Bolt and Taub–NUT metrics.“ Classical and Quantum Gravity, Nr. 24 (24): 6201–6217. doi: 10.1088/0264-9381/24/24/004.

2006

• Holzegel, G. 2006. „On the instability of Lorentzian Taub–NUT space.“ Classical and Quantum Gravity, Nr. 23 (11): 3951–3962. doi: 10.1088/0264-9381/23/11/017.
• Gibbons, GW, und Holzegel, G. 2006. „The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions.“ Classical and Quantum Gravity, Nr. 23 (22): 6459–6478. doi: 10.1088/0264-9381/23/22/022.
• Dafermos, M, und Holzegel, G. 2006. „On the nonlinear stability of higher dimensional triaxial Bianchi-{IX} black holes.“ Advances in Theoretical and Mathematical Physics, Nr. 10 (4): 503–523. doi: 10.4310/ATMP.2006.v10.n4.a2.