Publications

More information can be found on my arXiv page, my Google Scholar page, and my ResearchGate page.

Publications

  1. Florian Beyer, David Garfinkle, James Isenberg and Todd Oliynyk, Big bang stability and isotropisation for the Einstein-scalar field equations in the ekpyrotic regime, arXiv:2604.00297.
  2. Florian Beyer, The extremely-tilted fluid regime near asymptotically Kasner big bang singularities, arXiv:2602.19361.
  3. Florian Beyer, Todd Oliynyk and Weihang Zheng, Localized past stability of the subcritical Kasner-scalar field spacetimes, arXiv:2502.09210.
  4. Florian Beyer and Todd Oliynyk, Relativistic perfect fluids near Kasner singularities, Communications in Analysis and Geometry, Volume 32, Number 6, 1701-1794, 2024.
  5. Florian Beyer and Todd Oliynyk, Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularities, Beijing Journal of Pure and Applied Mathematics, Volume 1, Number 2, 515-637, 2024.
  6. Florian Beyer, Elliot Marshall and Todd Oliynyk, Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state p=Kρ with 0 ≤ K<1/3, Physical Review D 110 (2024), 044060.
  7. Florian Beyer and Todd Oliynyk, Localized big bang stability for the Einstein-scalar field equations, Archive for Rational Mechanics and Analysis 248, 3 (2024).
  8. Florian Beyer, Elliot Marshall and Todd Oliynyk, Future instability of FLRW fluid solutions for linear equations of state p=Kρ with 1/3 <K<1, Physical Review D 107 (2023), 104030.
  9. Florian Beyer and Joshua Ritchie, Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints, Classical and Quantum Gravity 39, 145012 (2022).
  10. Ellery Ames, Florian Beyer, James Isenberg and Todd Oliynyk, Stability of AVTD Behavior within the Polarized T²-symmetric vacuum spacetimes, Annales Henri Poincaré (2022).
  11. Ellery Ames, Florian Beyer, James Isenberg and Todd Oliynyk, Stability of Asymptotic Behavior Within Polarised T²-Symmetric Vacuum Solutions with Cosmological Constant, Philosophical Transactions of the Royal Society A 380: 20210173 (2022).
  12. Florian Beyer, Todd Oliynyk and J. Arturo Olvera-Santamaría, The Fuchsian approach to global existence for hyperbolic equations, Communications in Partial Differential Equations 46 (2021), 864-934.
  13. Florian Beyer, Jörg Frauendiener and Jörg Hennig, Explorations of the infinite regions of space-time, International Journal of Modern Physics D, 2030007 (2020).
  14. Florian Beyer and Philippe LeFloch, A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes, Journal of Computational Physics 431 (2021), 110145.
  15. Florian Beyer, Jörg Frauendiener and Joshua Ritchie, Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations, Physical Review D 101, 084013 (2020).
  16. Ellery Ames, Florian Beyer and James Isenberg, Contracting asymptotics of the linearized lapse-scalar field sub-system of the Einstein-scalar field equations, Journal of Mathematical Physics 60, 102504 (2019).
  17. Florian Beyer, Leon Escobar, Jörg Frauendiener and Joshua Ritchie, Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations, Classical and Quantum Gravity 36, 175005 (2019).
  18. Florian Beyer and Tim-Torben Paetz, Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor, Journal of Mathematical Physics 59, 022501 (2018).
  19. Florian Beyer and Philippe LeFloch, Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities, Communications in Partial Differential Equations 42, Number 8, 1199-1248 (2017).
  20. Florian Beyer, Leon Escobar and Jörg Frauendiener, Asymptotics of solutions of a hyperbolic formulation of the constraint equations, Classical and Quantum Gravity 34 (2017), 205014.
  21. Florian Beyer, Jörg Frauendiener, Chris Stevens and Ben Whale, The numerical initial boundary value problem for the generalized conformal field equations, Physical Review D 96, 084020 (2017).
  22. Florian Beyer, Leon Escobar and Jörg Frauendiener, Criticality of inhomogeneous Nariai-like cosmological models, Physical Review D 95, 084030 (2017).
  23. Ellery Ames, Florian Beyer, James Isenberg and Philippe LeFloch, A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges, Journal of Geometry and Physics 121 (2017), 42-71.
  24. Florian Beyer, Leon Escobar and Jörg Frauendiener, Numerical solutions of Einstein’s equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1), Physical Review D 93, 043009 (2016).
  25. Florian Beyer, Boris Daszuta and Jörg Frauendiener, A spectral method for half-integer spin fields based on spin-weighted spherical harmonics, Classical and Quantum Gravity 32 (2015), 175013.
  26. Florian Beyer and Jörg Hennig, An exact smooth Gowdy-symmetric generalized Taub-NUT solution, Classical and Quantum Gravity 31, 095010 (2014).
  27. Florian Beyer, Boris Daszuta, Jörg Frauendiener and Ben Whale, Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics, Classical and Quantum Gravity 31, 075019 (2014).
  28. Florian Beyer and Leon Escobar, Graceful exit from inflation for minimally coupled Bianchi A scalar field models, Classical and Quantum Gravity 30 (2013), 195020.
  29. Florian Beyer, Georgios Doulis, Jörg Frauendiener and Ben Whale, The Spin-2 Equation on Minkowski Background, Springer Proceedings in Mathematics & Statistics 60 (2014), 465-468.
  30. Ellery Ames, Florian Beyer, James Isenberg and Philippe LeFloch, Quasilinear hyperbolic Fuchsian systems and AVTD behavior in T2-symmetric vacuum spacetimes, Annales Henri Poincaré (2013).
  31. Florian Beyer, Georgios Doulis, Jörg Frauendiener and Ben Whale, Linearized gravitational waves near space-like and null infinity, arXiv:1302.0043.
  32. Florian Beyer, Georgios Doulis, Jörg Frauendiener and Ben Whale, Numerical space-times near space-like and null infinity. The spin-2 system on Minkowski space, Classical and Quantum Gravity 29 (2012), 245013.
  33. Ellery Ames, Florian Beyer, James Isenberg and Philippe LeFloch, Quasi-linear symmetric hyperbolic Fuchsian systems in several space dimensions, arXiv:1205.2166.
  34. Florian Beyer and Jörg Hennig, Smooth Gowdy symmetric generalized Taub-NUT solutions, Classical and Quantum Gravity 29 (2012), 245017.
  35. Florian Beyer and Philippe LeFloch, Second-order hyperbolic Fuchsian systems. Asymptotic behavior of geodesics in Gowdy spacetimes, arXiv:1108.4718.
  36. Florian Beyer and Philippe LeFloch, Second-order hyperbolic Fuchsian systems and applications, Classical and Quantum Gravity 27:245012, 2010.
  37. Florian Beyer, Non-genericity of the Nariai solutions: II. Investigations within the Gowdy class, Classical and Quantum Gravity 26:235016.
  38. Florian Beyer, Non-genericity of the Nariai solutions: I. Asymptotics and spatially homogeneous perturbations, Classical and Quantum Gravity 26:235015.
  39. Florian Beyer, A spectral solver for evolution problems with spatial S3-topology, Journal of Computational Physics 228 (2009), 6496-6513.
  40. Florian Beyer, Investigations of solutions of Einstein’s field equations close to lambda-Taub-NUT, Classical and Quantum Gravity 25:235005, 2008.
  41. Erik Schnetter, Badri Krishnan and Florian Beyer, Introduction to dynamical horizons in numerical relativity, Physical Review D 74 (2006), 024028.
  42. Nigel Bishop, Florian Beyer and Michael Koppitz, Black hole initial data from a non-conformal decomposition, Physical Review D 69 (2004), 064010.

Updated May 2026