Galaxy cluster hydrostatic masses using Tolman–Oppenheimer–Volkoff equation

Publication date: Available online 13 February 2020Source: Physics of the Dark UniverseAuthor(s): Sajal Gupta, Shantanu DesaiAbstractMotivated 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).

Source: Physics of the Dark Universe - February 14, 2020 Category: Physics Source Type: research