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

2023

• 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 247: 56. doi: 10.1007/s00205-023-01890-9.
• Graf, O; Holzegel, G. 2023. ‘Mode stability results for the Teukolsky equations on Kerr-anti-de Sitter spacetimes.’ Classical and Quantum Gravity 40, No. 4. doi: 10.1088/1361-6382/acb0ac.
• Holzegel, G; Kauffman, C. 2023. The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms arXiv. doi: 10.48550/arXiv.2302.06387.

2022

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

2020

• Holzegel, G; Luk, J; Smulevici, J; Warnick, C. 2020. ‘Asymptotic properties of linear field equations in anti-de Sitter space.’ Communications in Mathematical Physics 374: 1125–1178. doi: 10.1007/s00220-019-03601-6.
• Holzegel, G; 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.

2019

• 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 5, No. 2: 1–118. doi: 10.1007/s40818-018-0058-8.
• Dafermos, M; Holzegel, G; Rodnianski, I. 2019. ‘The linear stability of the Schwarzschild solution to gravitational perturbations.’ Acta Mathematica 222, No. 1: 1–214. doi: 10.4310/ACTA.2019.v222.n1.a1.

2017

• Holzegel, G; Shao, A. 2017. ‘Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries.’ Communications in Partial Differential Equations 42, No. 12: 1871–1922. doi: 10.1080/03605302.2017.1390677.

2016

• Holzegel, G. 2016. ‘Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric.’ Classical and Quantum Gravity 33, No. 20: 205004. doi: 10.1088/0264-9381/33/20/205004.
• 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 13, No. 1: 1–105. doi: 10.1142/S0219891616500016.
• Holzegel, G; Shao, A. 2016. ‘Unique continuation from infinity in asymptotically anti-de Sitter spacetimes.’ Communications in Mathematical Physics 347: 723–775. doi: 10.1007/s00220-016-2576-0.

2015

• Holzegel, G; Warnick, C. 2015. ‘The Einstein–Klein–Gordon–AdS system for general boundary conditions.’ Journal of Hyperbolic Differential Equations 12, No. 2: 293–342. doi: 10.1142/S0219891615500095.

2014

• Holzegel, G; Warnick, C. 2014. ‘Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes.’ Journal of Functional Analysis 226, No. 4: 2436–2485. doi: 10.1016/j.jfa.2013.10.019.
• Holzegel, G; Smulevici, J. 2014. ‘Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes.’ Analysis and PDE 7, No. 5: 1057–1090. doi: 10.2140/apde.2014.7.1057.

2013

• Holzegel, G; Smulevici, J. 2013. ‘Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes.’ Communications on Pure and Applied Mathematics 66, No. 11: 1751–1802. doi: 10.1002/cpa.21470.
• Holzegel, G; Smulevici, J. 2013. ‘Stability of Schwarzschild-AdS for the sphericallysymmetric Einstein-Klein-Gordon system.’ Communications in Mathematical Physics 317: 205–251. doi: 10.1007/s00220-012-1572-2.

2012

• Holzegel, G. 2012. ‘Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes.’ Journal of Hyperbolic Differential Equations 9, No. 2: 239–261. doi: 10.1142/S0219891612500087.
• Holzegel, G; Smulevici, J. 2012. ‘Self-gravitating Klein–Gordon fields in asymptotically anti-de Sitter spacetimes.’ Annales Henri Poincare 13: 991–1038. doi: 10.1007/s00023-011-0146-8.

2010

• Holzegel, G. 2010. ‘On the massive wave equation on slowly rotating Kerr-AdS spacetimes.’ Communications in Mathematical Physics 294: 169–197. doi: 10.1007/s00220-009-0935-9.
• Holzegel, G. 2010. ‘Stability and decay rates for the five-dimensional Schwarzschild metric under biaxial perturbations.’ Advances in Theoretical and Mathematical Physics 14, No. 5: 1245–1372. doi: 10.4310/ATMP.2010.v14.n5.a1.

2007

• Holzegel, G; Schmelzer, T; Warnick, C. 2007. ‘Ricci flows connecting Taub–Bolt and Taub–NUT metrics.’ Classical and Quantum Gravity 24, No. 24: 6201–6217. doi: 10.1088/0264-9381/24/24/004.

2006

• Dafermos, M; Holzegel, G. 2006. ‘On the nonlinear stability of higher dimensional triaxial Bianchi-{IX} black holes.’ Advances in Theoretical and Mathematical Physics 10, No. 4: 503–523. doi: 10.4310/ATMP.2006.v10.n4.a2.
• Holzegel, G. 2006. ‘On the instability of Lorentzian Taub–NUT space.’ Classical and Quantum Gravity 23, No. 11: 3951–3962. doi: 10.1088/0264-9381/23/11/017.
• Gibbons, G W; Holzegel, G. 2006. ‘The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions.’ Classical and Quantum Gravity 23, No. 22: 6459–6478. doi: 10.1088/0264-9381/23/22/022.