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In order to solve the Tolman-Oppenheimer-Volkoff equations for neutron stars, one routinely uses the equation of states which are computed in the Minkowski spacetime. Using a first-principle approach, it is shown that the equation of states…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Golam Mortuza Hossain , Susobhan Mandal

Neutron stars are regarded as natural laboratories for the study of dense strong interaction matter. The equation of state (EoS) of dense matter computed in flat spacetime is used to predict the structure of neutron stars by solving the…

General Relativity and Quantum Cosmology · Physics 2022-10-27 Jianing Li , Tao Guo , Jiaxing Zhao , Lianyi He

In this paper, we investigate the structure of neutron stars by considering both the effects of the cosmological constant and the existence of quark matter for neutron stars in Einstein's gravity. For this purpose, we use a suitable…

General Physics · Physics 2022-03-02 T. Yazdizadeh , G. H. Bordbar , B. Eslam Panah

Given an Equation of State (EOS) for neutron star (NS) matter, there is a unique mass-radius sequence characterized by a maximum mass $M_{\rm{NS}}^{\max}$ at radius $R_{\max}$. We first show analytically that the $M_{\rm{NS}}^{\max}$ and…

Nuclear Theory · Physics 2023-07-27 Bao-Jun Cai , Bao-An Li , Zhen Zhang

We shall examine various types of equations of state for neutron stars, which determine the structure of neutron stars. In particular, the relation between mass and radius of neutron stars is of primary consideration. By combining an…

Solar and Stellar Astrophysics · Physics 2012-11-01 Carlos Daniel Xu

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

One of the most intringuing questions about neutron stars concerns their maximum mass. The answer is intimately related to the properties of matter at densities far beyond that found in heavy atomic nuclei. The current view on the internal…

High Energy Astrophysical Phenomena · Physics 2013-11-19 N. Chamel , P. Haensel , J. L. Zdunik , A. F. Fantina

We derive the equation for pressure within a neutron star, taking into account a non-zero cosmological constant ($\Lambda$). We then examine the stability of the neutron star's equilibrium state in the presence of cosmological constant. Our…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Naveen K. Singh , Gopal Kashyap

The maximum mass of a nonrotating neutron star, $M_{\rm TOV}$, plays a very important role in deciphering the structure and composition of neutron stars and in revealing the equation of state (EOS) of nuclear matter. Although with a…

High Energy Astrophysical Phenomena · Physics 2023-01-04 Christian Ecker , Luciano Rezzolla

Motivated by the recent interests in spin$-2$ massive gravitons, we study the structure of neutron star in the context of massive gravity. The modifications of TOV equation in the presence of massive gravity are explored in $4$ and higher…

General Relativity and Quantum Cosmology · Physics 2017-07-25 S. H. Hendi , G. H. Bordbar , B. Eslam Panah , S. Panahiyan

The post-merger product of the first binary neutron star merger event detected in gravitational waves, GW170817, depends on neutron star equation of state (EoS) and is not well determined. We generally discuss the constraints one may pose…

High Energy Astrophysical Phenomena · Physics 2020-05-06 Shunke Ai , He Gao , Bing Zhang

We perform a Bayesian analysis of the maximum mass $M_{\rm TOV}$ of neutron stars with a quark core, incorporating the observational data from tidal deformability of the GW170817 binary neutron star merger as detected by LIGO/Virgo and the…

High Energy Astrophysical Phenomena · Physics 2021-08-25 Ang Li , Zhiqiang Miao , Sophia Han , Bing Zhang

The relativistic equations of hydrostatic equilibrium for a spherically symmetric star, or the Tolman-Oppenheimer-Volkoff equations are known in higher dimensions. In this paper, these equations have been expressed in terms of parameters of…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Manjari Bagchi

Regarding a $d-$dimensional spherically symmetric line element in the context of Einstein-$\Lambda$ gravity, the hydrostatic equilibrium equation of stars is obtained. Then, by using the lowest order constrained variational (LOCV) method…

General Relativity and Quantum Cosmology · Physics 2017-01-30 G. H. Bordbar , S. H. Hendi , B. Eslam Panah

We study a model of the neutron star in $\kappa$-deformed space-time in the presence of the cosmological constant ($\Lambda$). The Einstein tensor and the energy-momentum tensor are generalized to $\kappa$-deformed space-time and we…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Bhagya. R , Diganta Parai , Harsha Sreekumar , Suman Kumar Panja

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

The TOV equations govern the radial evolution of pressure and energy density in static neutron stars (NSs) in hydrodynamical equilibrium. Using the reduced pressure and energy density with respect to the NS central energy density, the…

High Energy Astrophysical Phenomena · Physics 2025-03-19 Bao-Jun Cai , Bao-An Li

In this contribution nuclear constraints on the equation of state for a neutron star are discussed. A combined fit to nuclear masses and charge radii leads to improved values for the symmetry energy and its derivative at nuclear saturation…

Solar and Stellar Astrophysics · Physics 2015-06-18 A. E. L. Dieperink , C. Korpa

We construct and analyze a model of the neutron star in the k deformed space-time. This is done by first deriving the k deformed generalization of the Einstein tensor, starting from the non-commutative generalization of the metric tensor.…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Bhagya. R , Diganta Parai , E. Harikumar , Suman Kumar Panja

In the quest for describing massive neutron stars with radii compatible with recent expectations, we take a different approach in the present paper and, instead of tuning the equations of state, we use an appropriate parameterization of the…

Nuclear Theory · Physics 2019-02-27 Clésio E. Mota , Guilherme Grams , Débora P. Menezes
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