An independent estimate of H(z) at z = 0.5 from the stellar ages of brightest cluster galaxies

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Main Authors: Loubser, S. Ilani, Alabi, Adebusola B., Hilton, Matt, Ma, Yin-Zhe, Tang, Xin, Hatamkhani, Narges, Cress, Catherine, Skelton, Rosalind E., Nkosi, S. Andile
Format: Preprint
Published: 2025
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author Loubser, S. Ilani
Alabi, Adebusola B.
Hilton, Matt
Ma, Yin-Zhe
Tang, Xin
Hatamkhani, Narges
Cress, Catherine
Skelton, Rosalind E.
Nkosi, S. Andile
author_facet Loubser, S. Ilani
Alabi, Adebusola B.
Hilton, Matt
Ma, Yin-Zhe
Tang, Xin
Hatamkhani, Narges
Cress, Catherine
Skelton, Rosalind E.
Nkosi, S. Andile
contents Several cosmological observations (e.g., Cosmic Microwave Background (CMB), Supernovae Type Ia, and local distance ladder measurements such as Cepheids) have been used to measure the global expansion rate of the Universe, i.e., the Hubble constant, $H_{0}$. However, these precision measurements have revealed tensions between different probes that are proving difficult to solve. Independent, robust techniques must be exploited to validate results or mitigate systematic effects. We use the Cosmic Chronometer (CC) method, which leverages the differential age evolution of passive galaxies, to measure $H(z)$, without any assumption of the underlying cosmology. Unlike previous CC studies, we used only brightest cluster galaxies (BCGs), the oldest and most massive galaxies in the Universe, to construct a pure and homogeneous sample. In this work we used a sample of 53 BCGs in massive, Sunyaev-Zel'dovich selected galaxy clusters (0.3 $< z <$ 0.7) with Southern African Large Telescope (SALT) spectroscopic observations. We used optical spectra to measure D4000$_{\rm n}$ of the BCGs to obtain a new direct measurement of $H(z) = 72.1 \pm 33.9(\rm stat) \pm 7.3$(syst) km s$^{-1}$ Mpc$^{-1}$ at $z=0.5$. By using BCGs, we significantly reduced the systematic errors to 10% by minimising the stellar mass and metallicity dependence of the method. The dominant uncertainty, and limitation for our study, is statistical, and we need larger, homogeneous samples of the oldest, most massive galaxies. By using the $Planck$+BAO prior of $Ω_{m}$ and $Ω_Λ$, the projected Hubble constant is $H_{0}$ = $54.6 \pm 25.7(\rm stat) \pm 5.5$(syst) km s$^{-1}$ Mpc$^{-1}$, consistent with both CMB and Cepheid measurements.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03836
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An independent estimate of H(z) at z = 0.5 from the stellar ages of brightest cluster galaxies
Loubser, S. Ilani
Alabi, Adebusola B.
Hilton, Matt
Ma, Yin-Zhe
Tang, Xin
Hatamkhani, Narges
Cress, Catherine
Skelton, Rosalind E.
Nkosi, S. Andile
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Several cosmological observations (e.g., Cosmic Microwave Background (CMB), Supernovae Type Ia, and local distance ladder measurements such as Cepheids) have been used to measure the global expansion rate of the Universe, i.e., the Hubble constant, $H_{0}$. However, these precision measurements have revealed tensions between different probes that are proving difficult to solve. Independent, robust techniques must be exploited to validate results or mitigate systematic effects. We use the Cosmic Chronometer (CC) method, which leverages the differential age evolution of passive galaxies, to measure $H(z)$, without any assumption of the underlying cosmology. Unlike previous CC studies, we used only brightest cluster galaxies (BCGs), the oldest and most massive galaxies in the Universe, to construct a pure and homogeneous sample. In this work we used a sample of 53 BCGs in massive, Sunyaev-Zel'dovich selected galaxy clusters (0.3 $< z <$ 0.7) with Southern African Large Telescope (SALT) spectroscopic observations. We used optical spectra to measure D4000$_{\rm n}$ of the BCGs to obtain a new direct measurement of $H(z) = 72.1 \pm 33.9(\rm stat) \pm 7.3$(syst) km s$^{-1}$ Mpc$^{-1}$ at $z=0.5$. By using BCGs, we significantly reduced the systematic errors to 10% by minimising the stellar mass and metallicity dependence of the method. The dominant uncertainty, and limitation for our study, is statistical, and we need larger, homogeneous samples of the oldest, most massive galaxies. By using the $Planck$+BAO prior of $Ω_{m}$ and $Ω_Λ$, the projected Hubble constant is $H_{0}$ = $54.6 \pm 25.7(\rm stat) \pm 5.5$(syst) km s$^{-1}$ Mpc$^{-1}$, consistent with both CMB and Cepheid measurements.
title An independent estimate of H(z) at z = 0.5 from the stellar ages of brightest cluster galaxies
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2506.03836