Model-independent determination of H0 and ΩK0 from strong lensing and type Ia supernovae

Thomas Collett, Francesco Montanari, Syksy Rasanen

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We present the first determination of the Hubble constant H0 from strong lensing time delay data and type Ia supernova luminosity distances that is independent of the cosmological model. We also determine the spatial curvature model-independently. We assume that light propagation over long distances is described by the FLRW metric and geometrical optics holds, but make no assumption about the contents of the Universe or the theory of gravity on cosmological scales. We find H0 = 75.7+4.5−4.4 km/s/Mpc and ΩK0 = 0.12+0.27−0.25. This is a 6% determination of H0. A weak prior from the cosmic microwave background on the distance to the last scattering surface improves this to H0 = 76.8+4.2−3.8 km/s/Mpc and ΩK0 = 0.18+0.25−0.18. Assuming zero spatial curvature, we get H0 = 74.2+3.0−2.9 km/s/Mpc, a precision of 4%. The measurements also provide a consistency test of the FLRW metric: we find no evidence against it.
Original languageEnglish
Article number231101
Number of pages7
JournalPhysical Review Letters
Issue number23
Early online date2 Dec 2019
Publication statusPublished - 6 Dec 2019


  • astro-ph.CO
  • gr-qc


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