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Related papers: Zero Values of the TOV Equation

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We study non-rotating and isotropic strange quark stars in Lorentz-violating theories of gravity, and in particular in Ho\v{r}ava gravity and Einstein-{\ae}ther theory. For quark matter we adopt both linear and non-linear equations of…

General Relativity and Quantum Cosmology · Physics 2020-06-22 Grigoris Panotopoulos , Daniele Vernieri , Ilídio Lopes

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

The Neumann Equation of State (EQS) allows obtaining the value of the surface free energy of a solid ${\gamma}_{SV}$ from the contact angle $({\theta})$ of a probe liquid with known surface tension ${\gamma}_{LV}$. The value of…

Materials Science · Physics 2023-12-05 Jonathan M. Schuster , Carlos E. Schvezov , Mario R. Rosenberger

We solve the Tolman-Oppenheimer-Volkoff equation using an equation of state (EoS) calculated in holographic QCD. The aim is to use compact astrophysical objects like neutron stars as an indicator to test holographic equations of state. We…

High Energy Physics - Phenomenology · Physics 2015-05-30 Youngman Kim , Chang-Hwan Lee , Ik Jae Shin , Mew-Bing Wan

The electric permittivities and magnetic permeabilities for a relativistic electron gas are calculated from quantum electrodynamics at finite temperature and density as functions of temperature, chemical potential, frequency, and…

Quantum Physics · Physics 2016-05-11 C. A. A. de Carvalho

We study the ground state properties of a system of $N$ harmonically trapped bosons of mass $m$ interacting with two-body contact interactions, from small to large scattering lengths. This is accomplished in a hyperspherical coordinate…

Quantum Gases · Physics 2018-03-21 M. W. C. Sze , A. G. Sykes , D. Blume , J. L. Bohn

We construct the equation of state (EOS) of nuclear matter using the relativistic mean field (RMF) theory in the wide density, temperature range with various proton fractions for the use of supernova simulation and the neutron star…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

The relativistic extension of the classic stellar structure equations is investigated. It is pointed out that the Tolman-Oppenheimer-Volkov (TOV) equation with the gradient equation for local gravitational mass can be made complete as a…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shuichi Yokoyama

Using previous results and general thermodynamical formalism,an expression is obtained for the specific heat per particle under constant volume of a degenerate non-relativistic electron gas on a 1D lattice.The result is a non-linear…

Strongly Correlated Electrons · Physics 2007-05-23 V. Celebonovic

The potential hadron-to-quark phase transition in neutron stars has not been fully understood as the property of cold, dense, and strongly interacting matter cannot be theoretically described by the first-principle perturbative…

Nuclear Theory · Physics 2025-05-01 Ronghao Li , Sophia Han , Zidu Lin , Lingxiao Wang , Kai Zhou , Shuzhe Shi

In this work we present a detailed explanation of the construction of an appropriate equation of state (EoS) for nuclear astrophysics. We use a relativistic model in order to obtain an EoS for neutrally charged matter that extends from very…

Astrophysics · Physics 2007-05-23 D. P. Menezes , C. Providencia

We explore the consequences of a time-dependent inflaton Equation-of-State (EoS) parameter in the context of the post-inflationary perturbative Boltzmann reheating. In particular, we numerically solve the perturbative coupled system of…

General Relativity and Quantum Cosmology · Physics 2021-07-08 Alessandro Di Marco , Gianfranco Pradisi

An alternative to the well-known complete form of the Mie-Gr\"uneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium based only on the first law of…

Fluid Dynamics · Physics 2023-05-02 Sergey G. Chefranov

We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb-Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of…

Quantum Gases · Physics 2016-04-15 J. C. Zill , T. M. Wright , K. V. Kheruntsyan , T. Gasenzer , M. J. Davis

We investigate a kinetic model of a system in contact with several thermal reservoirs at different temperatures $T_\alpha$. Our system is a spatially uniform dilute gas whose internal dynamics is described by the nonlinear Boltzmann…

Mathematical Physics · Physics 2014-06-17 Eric A. Carlen , Joel L. Lebowitz , Clement Mouhot

We discuss the equilibrium properties of dilute Bose gases using a non-perturbative formalism based on auxiliary fields related to the normal and anomalous densities. We show analytically that for a dilute Bose gas of weakly-interacting…

Quantum Gases · Physics 2015-05-28 Bogdan Mihaila , Fred Cooper , John F. Dawson , Chih-Chun Chien , Eddy Timmermans

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Hyeong-Chan Kim

The departure from ideal gas behavior is described by several known equations of state (EoS), developed from a combination of theoretical considerations and experimental correlations. In this work a different approach is proposed, in which…

Statistical Mechanics · Physics 2011-03-31 D. Giusti , V. Molinari , D. Mostacci

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

The zero-temperature equation of state is analyzed in low-dimensional bosonic systems. In the dilute regime the equation of state is universal in terms of the gas parameter, i.e. it is the same for different potentials with the same value…

Quantum Gases · Physics 2015-05-13 G. E. Astrakharchik , J. Boronat , I. L. Kurbakov , Yu. E. Lozovik , F. Mazzanti