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Surveys in the next decade will deliver large samples of galaxy clusters that transform our understanding of their formation. Cluster astrophysics and cosmology studies will become systematics limited with samples of this magnitude. With…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 David J. Barnes , Mark Vogelsberger , Francesca A. Pearce , Ana-Roxana Pop , Rahul Kannan , Kaili Cao , Scott T. Kay , Lars Hernquist

Morphology is often used to infer the state of relaxation of galaxy clusters. The regularity, symmetry, and degree to which a cluster is centrally concentrated inform quantitative measures of cluster morphology. The Cluster Lensing and…

Due to their late formation in cosmic history, clusters of galaxies are not fully in hydrostatic equilibrium and the gravitational pull of their mass at a given radius is expected not to be entirely balanced by the thermal gas pressure.…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 F. Vazza , M. Angelinelli , T. W. Jones , D. Eckert , Brüggen M. , Brunetti G. , Gheller C

We have developed a galaxy cluster finding technique based on the Delaunay Tessellation Field Estimator (DTFE) combined with caustic analysis. Our method allows us to recover clusters of galaxies within the mass range of 10^12 to 10^16…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-06 Hector J. Ibarra-Medel , Maritza Lara-Lopez , Omar Lopez-Cruz

For static fluid spheres, the condition of hydrostatic equilibrium is given by the generalized Tolman--Oppenheimer--Volkoff (TOV) equation, a Riccati equation in the radial pressure. For a perfect fluid source, it is known that finding a…

General Relativity and Quantum Cosmology · Physics 2021-09-01 M M Akbar , R Solanki

This is the first in a series of papers studying the astrophysics and cosmology of massive, dynamically relaxed galaxy clusters. Here we present a new, automated method for identifying relaxed clusters based on their morphologies in X-ray…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Adam B. Mantz , Steven W. Allen , R. Glenn Morris , Robert W. Schmidt , Anja von der Linden , Ondrej Urban

While galaxy cluster masses are fundamental cosmological observables, estimates based on intra-cluster medium observations rely on hydrostatic equilibrium, introducing a systematic bias. We investigate how mergers drive the time evolution…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Isac Barranco-Llorca , David Vallés-Pérez , Susana Planelles , Vicent Quilis

We present cosmological constraints from measurements of the gas mass fraction, $f_{gas}$, for massive, dynamically relaxed galaxy clusters. Our data set consists of Chandra observations of 40 such clusters, identified in a comprehensive…

To re-examine the rich cluster $\Omega$ value the CNOC Cluster Survey has observed 16 high X-ray luminosity clusters in the redshift range 0.17 to 0.55, obtaining approximately 2600 velocities in their fields. Directly adding all the K and…

Astrophysics · Physics 2009-10-28 Carlberg , Yee , Ellingson , Abraham , Gravel , Morris , Pritchet

We examine the systematics affecting the X-ray mass estimators applied to a set of five simulated galaxy clusters. They have been processed through the X-ray Map Simulator, X-MAS, to provide Chandra-like long exposures that are analyzed to…

Astrophysics · Physics 2009-11-11 E. Rasia , S. Ettori , L. Moscardini , P. Mazzotta , S. Borgani , K. Dolag , G. Tormen , L. M. Cheng , A. Diaferio

In this work, we revisit several thin-crust approximations presented in the literature and compare them with the exact solutions of the Tolman--Oppenheimer--Volkoff (TOV) equations. In addition, we employ three different equations of state…

Nuclear Theory · Physics 2026-02-19 F. Köpp , J. E. Horvath , C. A. Z. Vasconcellos

We present a spherically-symmetric, steady-state model of galaxy clusters in which radiative cooling from the hot gas is balanced by heat transport through turbulent mixing. We assume that the gas is in hydrostatic equilibrium, and describe…

Astrophysics · Physics 2009-11-10 Woong-Tae Kim , Ramesh Narayan

We present general series solutions to the Tolman-Oppenheimer-Volkoff equations for compact stellar objects. We develop an algorithm to compute the coefficients of the power series in terms of the equation of state and its derivatives with…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Paulo Luz

We present the mass-X-ray observable scaling relationships for clusters of galaxies using the XMM-Newton cluster catalog of Snowden et al. Our results are roughly consistent with previous observational and theoretical work, with one major…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Adrienne M. Juett , David S. Davis , Richard Mushotzky

It is still a matter of debate to understand the equation of state of cold supra-nuclear matter in compact stars because of unknown on-perturbative strong interaction between quarks. Nevertheless, it is speculated from an astrophysical view…

Solar and Stellar Astrophysics · Physics 2015-05-20 X. S. Na , R. X. Xu

We develop an analytic method of inverting the Tolman-Oppenheimer-Volkoff (TOV) relations to high accuracy. In principle, a specified $\mathcal{E}\mbox{-}P$ relation gives a unique $M\mbox{-}R$ relation, and vice-versa. Our method is…

Solar and Stellar Astrophysics · Physics 2025-04-28 Boyang Sun , James M. Lattimer

The galaxy phase-space distribution in galaxy clusters provides insights into the formation and evolution of cluster galaxies, and it can also be used to measure cluster mass profiles. We present a dynamical study based on $\sim$3000…

Clusters of galaxies are useful tools to constrain cosmological parameters, only if their masses can be correctly inferred from observations. In particular, X-ray and Sunyaev-Zeldovich (SZ) effect observations can be used to derive masses…

We analyse cosmological hydrodynamical simulations of galaxy clusters to study the X-ray scaling relations between total masses and observable quantities such as X-ray luminosity, gas mass, X-ray temperature, and $Y_{X}$. Three sets of…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-26 N. Truong , E. Rasia , P. Mazzotta , S. Planelles , V. Biffi , D. Fabjan , A. M. Beck , S. Borgani , K. Dolag , M. Gaspari , G. L. Granato , G. Murante , C. Ragone-Figueroa , L. K. Steinborn

We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-03 Alex E. Bernardini
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