https://doi.org/10.1140/epjc/s10052-022-10839-3
Regular Article - Theoretical Physics
Tests of standard cosmology in Hořava gravity, Bayesian evidence for a closed universe, and the Hubble tension
1
National Centre for Nuclear Research, Pasteura 7, 00-293, Warsaw, Poland
2
Center for Quantum Spacetime, Sogang University, 121-742, Seoul, Korea
Received:
27
December
2021
Accepted:
23
September
2022
Published online:
5
October
2022
We consider some background tests of standard cosmology in the context of Hořava gravity with different scaling dimensions for space and time, which has been proposed as a renormalizable, higher-derivative, Lorentz-violating quantum gravity model without ghost problems. We obtain the “very strong” and “strong” Bayesian evidences for our two cosmology models A and B, respectively, depending on the choice of parametrization based on Hořava gravity, against the standard, spatially-flat, LCDM cosmology model based on general relativity. An MCMC analysis with the observational data, including BAO, shows (a) preference of a closed universe with the curvature density parameter 
, 
, (b) reduction of the Hubble tension with the Hubble constant 
, 
for the models A, B, respectively, and also (c) a positive result on the discordance problem. We comment on some possible further improvements for the “cosmic-tension problem” by considering the more complete early-universe physics, based on the Lorentz-violating standard model with anisotropic space-time scaling, consistently with Hořava gravity, as well as the observational data which are properly adopted for the closed universe.
Nils A. Nilsson: On leave from Rutherford Appleton Laboratory (RAL), Harwell Campus, Didcot, OX11 0QX, UK.
© The Author(s) 2022
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