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The maximum mass of neutron stars ($M_{\rm TOV}$) plays a crucial role in understanding their equation of state (EoS). Previous studies have used the measurements for the compactness of massive pulsars and the tidal deformability of neutron…

High Energy Astrophysical Phenomena · Physics 2023-10-12 Shunke Ai , He Gao , Yong Yuan , Bing Zhang , Lin Lan

We describe a novel class of geometrical models of relativistic stars. Our approach to the static spherically symmetric solutions of Einstein equations is based on a careful physical analysis of radial gauge conditions. It brings us to a…

Astrophysics · Physics 2007-05-23 P. P. Fiziev

Models of neutron stars are considered in the case of a uniform density distribution. An algebraic equation, valid for any equation of state, is obtained. This equation allows one to find the approximate mass of a star of a given density…

High Energy Astrophysical Phenomena · Physics 2023-11-14 G. S. Bisnovatyi-Kogan , E. A. Patraman

Chiral Lagrangian and quark-meson coupling models of hyperon matter are used to estimate the maximum mass of neutron stars. Our relativistic calculations include, for the first time, both Hartree and Fock contributions in a consistent…

Nuclear Theory · Physics 2012-03-05 Elisabeth Massot , Jérôme Margueron , G. Chanfray

In this work we present general predictions for the static observables of neutron stars (NSs) under the hypothesis of a purely nucleonic composition of the ultra-dense baryonic matter, using Bayesian inference on a very large parameter…

Nuclear Theory · Physics 2024-02-28 Luigi Scurto , Helena Pais , Francesca Gulminelli

We investigate the properties of neutron stars within the framework of $f(Q)$ gravity by incorporating rotational effects through a slowly rotating metric. We derive the modified TOV equations and calculate the angular velocity profiles and…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Muhammad Azzam Alwan , Tomohiro Inagaki , S. A. Narawade , B. Mishra

Neutron stars have long been regarded as extra-terrestrial laboratories from which we can learn about extreme energy density matter at low temperatures. In this article, I highlight some of the recent advances made in astrophysical…

Solar and Stellar Astrophysics · Physics 2023-07-19 Madappa Prakash

Using the modern equations of state derived from microscopic calculations, we have calculated the neutron star structure. For the neutron star, we have obtained a minimum mass about $0.1 {\rm M_{\odot}}$ which is nearly independent of the…

Astrophysics · Physics 2010-11-05 G. H. Bordbar , M. Hayati

The densities in the cores of the neutron stars (NSs) can reach several times that of the nuclear saturation density. The exact nature of matter at these densities is still virtually unknown. We consider a number of proposed,…

High Energy Astrophysical Phenomena · Physics 2024-02-16 Zenia Zuraiq , Banibrata Mukhopadhyay , Fridolin Weber

In this work we construct families of anisotropic neutron stars for an equation of state compatible with the constraints of the gravitational-wave event GW170817 and for four anisotropy ansatze. Such stars are subjected to a radial…

General Relativity and Quantum Cosmology · Physics 2020-08-13 Juan M. Z. Pretel

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

We construct equilibrium configurations for neutron stars using a specific $f(R,T)$ functional form, recently derived through gaussian process applied to measurements of the Hubble parameter. By construction, this functional form serves as…

General Relativity and Quantum Cosmology · Physics 2024-11-15 J. T. Quartuccio , P. H. R. S. Moraes , G. N. Zeminiani , M. M. Lapola

The solutions for the Tolmann-Oppenheimer-Volkoff (TOV) equation bring valuable informations about the macroscopical features of compact astrophysical objects as neutron stars. They are sensitive to both the equation of state considered for…

General Relativity and Quantum Cosmology · Physics 2020-05-14 S. I. dos Santos , G. A. Carvalho , P. H. R. S. Moraes , M. Malheiro

Rotation causes an increase in a neutron star's mass and equatorial radius. The mass and radius depend sensitively on the unknown equation of state (EOS) of cold, dense matter. However, the increases in mass and radius due to rotation are…

High Energy Astrophysical Phenomena · Physics 2022-08-09 Andreas Konstantinou , Sharon M. Morsink

The uncertainties in neutron star (NS) radii and crust properties due to our limited knowledge of the equation of state (EOS) are quantitatively analysed. We first demonstrate the importance of a unified microscopic description for the…

Solar and Stellar Astrophysics · Physics 2016-10-12 M. Fortin , C. Providencia , A. R. Raduta , F. Gulminelli , J. L Zdunik , P. Haensel , M. Bejger

We present a self-consistent, relativistic model of rapidly rotating neutron stars describing their exterior gravitational field. This is achieved by matching the new solution of Einstein's field equations found by Manko et al. (2000) and…

Astrophysics · Physics 2009-11-07 Matthias Stute , Max Camenzind

In this Letter, we report a realistic calculation of the magnetic field profile for the equation of state inside strongly magnetized neutron stars. Unlike previous estimates, which are widely used in the literature, we find that magnetic…

High Energy Astrophysical Phenomena · Physics 2017-10-11 V. Dexheimer , B. Franzon , R. O. Gomes , R. L. S. Farias , S. S. Avancini , S. Schramm

Measuring neutron star radii with spectroscopic and timing techniques relies on the combination of multiple observables to break the degeneracies between the mass and radius introduced by general relativistic effects. Here, we explore a…

High Energy Astrophysical Phenomena · Physics 2015-10-21 Feryal Ozel , Dimitrios Psaltis

The mass ($M_{\rm TOV}$) and radius ($R_{\rm TOV}$) of the maximum-mass nonrotating neutron star (NS) play a crucial role in constraining the elusive equation of state of cold dense matter and in predicting the fate of remnants from binary…

High Energy Astrophysical Phenomena · Physics 2023-12-25 Shao-Peng Tang , Bo Gao , Yin-Jie Li , Yi-Zhong Fan , Da-Ming Wei

Motivated by the recent discovery of a compact object with mass in the range $2.5{-}2.67\, \mathrm{M}_\odot$ in the binary merger GW190814, we revisit the question of the maximum mass of neutron stars (NSs). We use a Markov Chain Monte…

High Energy Astrophysical Phenomena · Physics 2021-06-22 Daniel A. Godzieba , David Radice , Sebastiano Bernuzzi
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