Stockholm university
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Oliver Lindblad Petersen

About me

I am an associate professor in mathematics with a strong interest in mathematical physics.

My research is in Geometric Analysis, with emphasis on Mathematical General Relativity:

  • Uniqueness of black holes
  • Stability of black holes
  • Cosmology and the Big Bang

Research

Preprints:

  • Formation of quiescent big bang singularities [arXiv]
    (with Hans Oude Groeniger and Hans Ringström)
  • Lp-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds [arXiv]
    (with Klaus Kröncke)

Publications:

  • Stationarity and Fredholm theory in subextremal Kerr-de Sitter spacetimes [Journal, arXiv]
    (with András Vasy)
    SIGMA 20 (2024). Special issue for Christian Bär's 60th birthday.
  • Wave equations in the Kerr-de Sitter spacetime: the full subextremal range  [Journal, arXiv]
    (with András Vasy)
    J. Eur. Math. Soc. (online first)
  • The asymptotic expansion of the spacetime metric at the event horizon [Journal, arXiv]
    (with Klaus Kröncke)
    Ann. Henri Poincaré (online first)
  • Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes [Journal, arXiv]
    (with András Vasy)
    Comm. Math. Phys. 402 (2023), no. 3, 2547–2575.
  • Long-time estimates for heat flows on ALE manifolds [Journal, arXiv]
    (with Klaus Kröncke)
    Int. Math. Res. Not. (2021), no. 24, 19943-20003.
  • Extension of Killing vector fields beyond compact Cauchy horizons [Journal, arXiv]
    Adv. Math. 391 (2021), Paper No. 107953.
  • Mean curvature flow in asymptotically flat product spacetimes  [Journal, arXiv]
    (with Klaus Kröncke, Felix Lubbe et al)
    J. Geom. Anal. 31 (2021), no. 6, 5451-5479.
  • Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity [Journal, arXiv]
    (with I. Rácz)
    Ann. Henri Poincaré 24 (2023), 3921-3943.
  • Wave equations with initial data on compact Cauchy horizons [Journal, arXiv]
    Analysis & PDE 14 (2021), no. 8, 2363–2408.
  • On the Cauchy problem for the linearised Einstein equation [Journal, arXiv]
    Ann. Henri Poincaré 20 (2019), no. 12, 3849-3888.
  • The mode solution of the wave equation in Kasner spacetimes and redshift [Journal, arXiv]
    Math. Phys. Anal. Geom. 19 (2016), no. 4, Art. 26, 15 pp.

Conference proceedings:

  • Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes [MFO]
    Oberwolfach Reports 40 (2021)
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