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This paper investigates a spherically symmetric compact relativistic body with isotropic pressure profiles within the framework of general relativity. In order to solve the Einstein's field equations, we have considered the Vaidya-Tikekar…

Astrophysics of Galaxies · Physics 2021-11-29 Jitendra Kumar , Puja Bharti

To investigate the stability of the protoneutron stars in their early evolution, the minimum gravitational mass plays a fundamental role. This quantity depends upon the temperature profile assumed. We study within a static approach the…

Nuclear Theory · Physics 2007-05-23 O. E. Nicotra

Using in-medium hadron properties according to the Brown-Rho scaling due to the chiral symmetry restoration at high densities and considering naturalness of the coupling constants, we have newly constructed several relativistic mean-field…

Nuclear Theory · Physics 2008-11-26 Wei-Zhou Jiang , Bao-An Li , Lie-Wen Chen

We study the nuclear isentropic equation of state for a stellar matter composed of nucleons, hyperons, and $\Delta$-resonances. We investigate different snapshots of the evolution of a neutron star, from its birth as a lepton-rich…

Nuclear Theory · Physics 2023-09-19 Adamu Issifu , Kauan D. Marquez , Mateus R. Pelicer , Débora P. Menezes

In the light of the recent discovery of a neutron star with a mass accurately determined to be almost two solar masses, it has been suggested that hyperons cannot play a role in the equation of state of dense matter in $\beta$-equilibrium.…

Nuclear Theory · Physics 2022-10-26 D. L. Whittenbury , J. D. Carroll , A. W. Thomas , K. Tsushima , J. R. Stone

In this work, we study the properties and structure of a massive and rapidly rotating protoneutron star (PNS) with hyperon content. We follow several stages of quasi-stationary evolution in an approximate way at four discrete steps. We use…

High Energy Astrophysical Phenomena · Physics 2019-08-12 Smruti Smita Lenka , Prasanta Char , Sarmistha Banik

We study the structure of relativistic stars in $\mathcal{R}+\alpha \mathcal{R}^{2}$ theory using the method of matched asymptotic expansion to handle the higher order derivatives in field equations arising from the higher order curvature…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Savaş Arapoğlu , Sercan Çıkıntoğlu , K. Yavuz Ekşi

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

In a previous work \cite{An1} matter models such that the energy density $\rho\geq 0,$ and the radial- and tangential pressures $p\geq 0$ and $q,$ satisfy $p+q\leq\Omega\rho, \Omega\geq 1,$ were considered in the context of Buchdahl's…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Hakan Andreasson

We select 37 most common and realistic dense matter equation of states to integrate the general relativistic stellar structure equations for static spherically symmetric matter configurations. For all these models, we check the compliance…

General Relativity and Quantum Cosmology · Physics 2021-02-02 D. Ramos-Salamanca , L. A. Núñez , J. Ospino

We examine the role of hyperons in a neutron star based on the relativistic mean field approach. For nuclear matter below 1.5 times the normal nuclear density we constrain the model parameters by using the symmetric nuclear matter…

Nuclear Theory · Physics 2018-01-24 Yeunhwan Lim , Chang-Hwan Lee , Yongseok Oh

Neutron star models in perturbative $f(R)$ gravity are considered with realistic equations of state. In particular, we consider the FPS, SLy and other equations of state and a case of piecewise equation of state for stars with quark cores.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Artyom V. Astashenok , Salvatore Capozziello , Sergei D. Odintsov

Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Chaisi , S. D. Maharaj

Rapid uniform rotation of newborn neutron stars (protoneutron stars) is studied for a range of internal temperatures and entropies per baryon predicted by the existing numerical simulations. Calculations are performed using general…

Astrophysics · Physics 2008-11-26 J-O. Goussard , P. Haensel , J. L. Zdunik

A realistic equation of state (EOS) leads to realistic strange stars (ReSS) which are compact in the mass radius plot, close to the Schwarzchild limiting line (Dey et al 1998). Many of the observed stars fit in with this kind of…

Astrophysics · Physics 2009-11-07 Monika Sinha , Jishnu Dey , Mira Dey , Subharthi Ray , Siddhartha Bhowmick , .

The relativistic inverse stellar structure problem determines the equation of state of the stellar matter given a knowledge of suitable macroscopic observable properties (e.g. their masses and radii) of the stars composed of that material.…

High Energy Astrophysical Phenomena · Physics 2025-02-18 Lee Lindblom , Tianji Zhou

In this paper Einstein's field equations, for static spherically symmetric perfect fluid models with a linear barotropic equation of state, are recast into a 3-dimensional regular system of ordinary differential equations on a compact state…

General Relativity and Quantum Cosmology · Physics 2009-10-31 U. S. Nilsson , C. Uggla

In this work we provide a framework for modeling compact stars in which the interior matter distribution obeys a generalised Chaplygin equation of state. The interior geometry of the stellar object is described by a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2016-05-05 Piyali Bhar , Megan Govender , Ranjan Sharma

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

We obtain a universal relation for the neutron star maximum mass arising from a particular combination of the saturation density ($n_0$), the effective mass ($m^*$), and (when present) the vector meson self-coupling constant ($\zeta$)…

Nuclear Theory · Physics 2025-10-28 Gihwan Nam , Yeunhwan Lim , Jeremy W. Holt
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