Galaxy cluster hydrostatic masses using Tolman–Oppenheimer–Volkoff equation

Gupta, S and Desai, Shantanu (2020) Galaxy cluster hydrostatic masses using Tolman–Oppenheimer–Volkoff equation. Physics of the Dark Universe, 28. ISSN 2212-6864

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Motivated by previous studies in literature about the potential importance of relativistic corrections to galaxy cluster hydrostatic masses, we calculate the masses of 12 relaxed clusters (with Chandra X-ray data) using the Tolman–Oppenheimer–Volkov (TOV) equation of hydrostatic equilibrium and the ideal gas equation of state. Analytical formulae for gas density and temperature profiles for these clusters, previously derived by Vikhlinin et al. (2006) were used to obtain these masses. We compare the TOV-based masses with those obtained using the corresponding Newtonian equation of hydrostatic equilibrium. We find that the fractional relative difference between the two masses are negligible, corresponding to ∼O(10−5).

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IITH Creators:
IITH CreatorsORCiD
Desai, Shantanu
Item Type: Article
Subjects: Physics
Divisions: Department of Physics
Depositing User: Team Library
Date Deposited: 27 Feb 2020 05:11
Last Modified: 27 Feb 2020 05:11
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