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Related papers: Galaxy cluster hydrostatic masses using Tolman-Opp…

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Many stellar configurations, including white dwarfs, neutron stars, black holes, supermassive stars, and star clusters, rely on relativistic effects. The Tolman-Oppenheimer-Volkoff (TOV) equation of the polytropic gas sphere is ultimately a…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Mohamed S. Aboueisha , Mohamed I. Nouh , Emad A-B. Abdel-Salam. Tarek M. Kamel , Mohamed M. Beheary , Kamel A. K. Gadallah

The cosmological parameters prefered by the cosmic microwave background (CMB) primary anisotropies predict many more galaxy clusters than those that have been detected via the thermal Sunyaev-Zeldovich (tSZ) effect. This tension has…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-28 G. Hurier , R. E. Angulo

Using a sample of ten nearby (z< 0.15), relaxed galaxy clusters in the temperature range [2-9] keV, we have investigated the scaling relation between the mass at various density contrasts (delta=2500,1000,500,200) and the cluster…

Astrophysics · Physics 2008-11-26 M. Arnaud , E. Pointecouteau , G. W. Pratt

We show how hydrostatic equilibrium in galaxy clusters can be quantitatively probed combining X-ray, SZ, and gravitational-lensing data. Our previously published method for recovering three-dimensional cluster gas distributions avoids the…

Astrophysics · Physics 2009-11-13 Ewald Puchwein , Matthias Bartelmann

This study aims to provide an analytical scheme for computing equilibrium configurations of relativistic stars by solving the Tolman-Oppenheimer-Volkoff equations directly in isotropic polar coordinates, as opposed to the commonly applied…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Dániel Barta

We present gas and total mass profiles for 13 low-redshift, relaxed clusters spanning a temperature range 0.7-9 keV, derived from all available Chandra data of sufficient quality. In all clusters, gas temperature profiles are measured to…

Astrophysics · Physics 2010-11-11 A. Vikhlinin , A. Kravtsov , W. Forman , C. Jones , M. Markevitch , S. S. Murray , L. Van Speybroeck

The existence of solutions to Tolman-Openheimer-Volkoff equation with linear equation of state modeling relativistic cloud of interacting particles is proved for mass parameter below certain threshold. For the intermediate values of mass…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Dorota Bors , Robert Stańczy

Inasmuch as the hydrostatic structure of interior neutron stars uniquely depends on the equation of state (EOS), the inverse constraints on EOS from astrophysical observation have been important methods to reveal the properties of the…

Nuclear Theory · Physics 2019-05-22 Houyuan Chen , Dehua Wen , Na Zhang

The mass derived from gravitational lensing reflects the total mass contained in the lensing system, independent of the specific matter contents and states. A comparison of the dynamical masses from hydrostatic equilibrium with the…

Astrophysics · Physics 2009-10-22 Xiang-Ping Wu

We consider a spherically symmetric internal solution within the context of Einstein-Chern-Simons gravity and derive a generalized five-dimensional Tolman-Oppenheimer-Volkoff (TOV) equation. It is shown that the generalized TOV equation…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Cristian Quinzacara , Patricio Salgado

The well-known equation for hydrostatic equilibrium in a static spherically symmetric spacetime supported by an isotropic perfect fluid is referred to as the Oppenheimer-Volkoff (OV) equation or the Tolman-Oppenheimer-Volkoff (TOV) equation…

History and Philosophy of Physics · Physics 2017-01-20 İbrahim Semiz

Galaxy clusters are the endpoints of structure formation and are continuously growing through the merging and accretion of smaller structures. Numerical simulations predict that a fraction of their energy content is not yet thermalized,…

In the present work, we obtain the hydrostatic equilibrium configurations of neutron stars in the recently proposed $f(R,\mathcal{L},T)$ theory of gravity, for which $R$ is the Ricci scalar, $\mathcal{L}$ is the matter lagrangian density,…

General Relativity and Quantum Cosmology · Physics 2024-02-26 J. A. S. Fortunato , P. H. R. S. Moraes , E. Brito , J. G. de Lima Júnior , T. S. Guerini

We present spatially-resolved analysis of the temperature and gas density profiles in 6 relaxed galaxy clusters at z = 0.4-0.54 using long-exposure Chandra observations. We derived the total cluster masses within the radius r_500 assuming…

Astrophysics · Physics 2009-11-13 O. Kotov , A. Vikhlinin

We argued previously that the well-known equation for hydrostatic equilibrium in a static spherically symmetric spacetime supported by an isotropic perfect fluid should be called the Oppenheimer-Volkoff (OV) equation, rather than the…

History and Philosophy of Physics · Physics 2020-01-15 İbrahim Semiz

Accurate mass determination of clusters of galaxies is crucial if they are to be used as cosmological probes. However, there are some discrepancies between cluster masses determined based on gravitational lensing, and X-ray observations…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 S. M. Molnar , I. -N. Chiu , K. Umetsu , P. Chen , N. Hearn , T. Broadhurst , G. Bryan , C. Shang

We give the first general construction of solutions of the static spherically symmetric Einstein-Euler equations, the Tolman-Oppenheimer-Volkoff (TOV-)equation, with prescribed density functions allowed to be discontinuous and non-uniform;…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Moritz Reintjes , Ruochen Xia

Under the assumption that the gas mass fraction of galaxy clusters estimated out to an outer hydrostatic radius is constant, it is possible to constrain the cosmological parameters by using the angular diameter distance relation with…

Astrophysics · Physics 2011-05-23 Asantha R. Cooray

The scaling between X-ray observables and mass for galaxy clusters and groups is instrumental for cluster based cosmology and an important probe for the thermodynamics of the intracluster gas. We calibrate a scaling relation between the…

In a recent manuscript published in the Arxives (arXiv:1610.03049v1), it is claimed that it should be more appropriate to refer to the equation of hydrostatic equilibrium in a static spherically symmetric spacetime, supported by an…

History and Philosophy of Physics · Physics 2016-11-22 L. Herrera