1. Model-independent test of the running Hubble constant from the Type Ia supernovae and the Hubble parameter data.
- Author
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Xu, Bing, Xu, Jiancheng, Zhang, Kaituo, Fu, Xiangyun, and Huang, Qihong
- Subjects
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TYPE I supernovae , *HUBBLE constant , *QUASARS , *GAMMA ray bursts , *GAUSSIAN processes , *GALAXY clusters - Abstract
In this study, we model-independently investigate the behaviour of running Hubble constant, characterized by the fit function |$H_{\rm 0}(z)=\tilde{H_{\rm {0}}}/(1+z)^{\alpha }$| , where α represents the evolutionary parameter and |${\tilde{H_{\rm {0}}}}$| corresponds to the current value of Hubble constant. Our analysis utilizes the expansion rate E (z) data points measured from the Pantheon + Multi-Cycle Treasury compilation of Type Ia supernova data, the measurements of H 0 obtained by Riess et al. and the Hubble parameter H (z) data obtained from the differential ages of passive galaxies [known as cosmic chronometer (CC) method] and from the baryon acoustic oscillation (BAO) in the radial direction of galaxy clustering. To resolve the redshift mismatch problem between the E (z) and H (z) data sets, we adopt the Hubble parameter data obtained via CC or BAO along with the measurements of H 0 obtained by Riess et al. to reconstruct the H (z) function using the Gaussian process. Our constraint yields α values of 0.125 ± 0.063 or 0.095 ± 0.052 when combining six pairs of the E (z) data and the reconstructed H (z) points via CC or BAO. These findings reveal that the Hubble constant may evolve with redshift, exhibiting a slowly decreasing trend, with α coefficients consistent with zero only at 2.0σ or 1.8σ. Therefore, the running Hubble constant might offer a promising resolution to the Hubble tension, and its reliability should be further tested through high-precision measurement at higher redshifts, such as the upcoming gamma-ray bursts and quasars. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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