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The mass of galaxy clusters (GCs) can be determined by calculating the hydrostatic equilibrium equation. In this work, we revisit the derivation of hydrostatic mass of GCs within modified emergent Newtonian gravity (MENG) with generalized uncertainty principle (GUP) correction. We also derive the hydrostatic mass of GCs within Eddington-inspired Born-Infeld (EiBI) theory, and beyond Horndeski gravity (BHG). We apply the formulations on the masses of 10 GCs. We compare our results with the Newtonian mass of GCs. For a regime, we get an insight that all formulations could match the Newtonian mass. Thus, the impact of the modified theories of gravity used in this work can be neglected in this regime. The noteworthy impact starts if we set ₀=-1. 65610^110 for MENG, =510^40 for EiBI theory, and =-0, 165510^69 for BHG. We also compare our results with the GCs' baryonic masses M₁₀ₑ. In this comparison, only the MENG formulation with ₀=2. 70 10^115 produces the best linear fit with the slope M₌₄₍₆M₁₀ₑ=0. 7550. 061. This means that in this work, MENG is the best theory of gravity that alleviates the mass discrepancy of hydrostatic mass and baryonic mass of GCs.
Apryandi et al. (Mon,) studied this question.