https://doi.org/10.1140/epjc/s10052-023-11424-y
Regular Article - Theoretical Physics
The Hubble constant from galaxy cluster scaling-relation and SNe Ia observations: a consistency test
1
Department of Physics, Indian Institute of Technology, Hyderabad, 502284, Kandi, Telangana, India
2
Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, Rio Grande do Norte, Brazil
3
Departamento de Física, Universidade Federal de Campina Grande, 58429-900, Campina Grande, PB, Brazil
4
Departamento de Física, Universidade Federal de Sergipe, 49100-000, Aracaju, SE, Brazil
Received:
23
June
2022
Accepted:
20
March
2023
Published online:
4
April
2023
In this paper, we propose a self-consistent test for a Hubble constant estimate using galaxy cluster and type Ia supernovae (SNe Ia) observations. The approach consists, in a first step, of obtaining the observational value of the galaxy cluster scaling-relation 
by combining the X-Ray and SZ observations of galaxy clusters at low redshifts (
) from the first Planck mission all-sky data set (
), along with SNe Ia observations and making use of the cosmic distance duality relation validity. Then, by considering a flat 
CDM model for 
, the constant C from the first step and the Planck prior on 
parameter, we obtain 
by using the galaxy cluster data with 
. As a result, we obtain 
km/s/Mpc, in full agreement with the latest results from HST + SH0ES team. We also compare our method with that one where the C parameter is obtained from hydrodynamical simulations of massive galaxy clusters.
© The Author(s) 2023
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