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Models of neutron stars (NSs) with hyperon cores are constructed with an effective chiral model in mean-field approximation. The hyperon couplings are fixed by reproducing their experimentally determined binding energies. The impact of…

Nuclear Theory · Physics 2019-01-31 Debashree Sen , Kinjal Banerjee , T. K. Jha

We study the Tolman-Oppenheimer-Volkoff equation in the presence of a cosmological constant for general thermodynamically consistent equations of state, without imposing regularity at the center. Formulating the problem as an initial value…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Christos Dounis , Charis Anastopoulos

In this work, we investigate static configurations of dark energy stars within the framework of Rastall-Rainbow (R-R) gravity, which combines an energy-dependent deformation of spacetime with a nonminimal coupling between matter and…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Ayan Banerjee , Bobur Turimov , Sulton Usanov , Murodbek Vapaev , Yunus Turaev , Zebo Avezmuratova

The present paper has the purpose to illustrate the importance of the ideas and constructions of the Non-Euclidean (Lobachevsky) Geometry, which can be applied even today for solving some conceptually important problems. We study the static…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Kozyrev

We study phase-transition-like behavior in neutron stars using a simplified, piecewise equation of state that couples a modified van der Waals-type core to a polytropic crust. The model remains analytically tractable while allowing for…

High Energy Astrophysical Phenomena · Physics 2026-02-26 P. H. F. Arruda , S. D. Campos

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

The description of a stellar system as a continuous fluid represents a convenient first approximation to stellar dynamics, and its derivation from the kinetic theory is standard. The challenge lies in providing adequate closure…

Astrophysics · Physics 2007-05-23 Edward A. Spiegel , Jean-Luc Thiffeault

We consider steady state solutions of the massive, asymptotically flat, spherically symmetric Einstein-Vlasov system, i.e., relativistic models of galaxies or globular clusters, and steady state solutions of the Einstein-Euler system, i.e.,…

General Relativity and Quantum Cosmology · Physics 2021-07-01 Mahir Hadzic , Zhiwu Lin , Gerhard Rein

As a preliminary step towards simulating binary neutron star coalescing problem, we test a post-Newtonian approach by constructing a single neutron star model. We expand the Tolman-Oppenheimer-Volkov equation of hydrostatic equilibrium by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hisa-aki Shinkai

We formulate the generalized Tolman-Oppenheimer-Volkoff equations for the $f(\hat{R})$ Palatini gravity in the case of static and spherical symmetric geometry. We also show that a neutron star is a stable system independently of the form of…

General Relativity and Quantum Cosmology · Physics 2018-05-31 Aneta Wojnar

This work studies relativistic stars in beyond Horndeski scalar-tensor theories that exhibit a breaking of the Vainshtein mechanism inside matter, focusing on a model based on the quartic beyond Horndeski Lagrangian. We self-consistently…

General Relativity and Quantum Cosmology · Physics 2016-11-16 Eugeny Babichev , Kazuya Koyama , David Langlois , Ryo Saito , Jeremy Sakstein

In general relativity static gaseous atmospheres may be in hydrostatic balance in the absence of a supporting stellar surface, provided that the luminosity is close to the Eddington value. We construct analytic models of optically thin,…

High Energy Astrophysical Phenomena · Physics 2016-01-11 M. Wielgus , W. Kluźniak , A. Sądowski , R. Narayan , M. Abramowicz

In this work we have studied the bulk properties of compact stellar object which is largely motivated by the recent work of Potekhin group who studied the structure and evolution of compact star on the basis of unified EoS of…

Nuclear Theory · Physics 2019-11-11 Shamim Haque Mondal , Mahamadun Hasan , Murshid Alam , Md. Abdul Khan

Static spherically symmetric perfect-fluid solutions of Einstein's equations play a central role in relativistic astrophysics and stellar structure theory. While many exact solutions satisfy Einstein's equations mathematically, only a…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Dina Demissenova , Nurzada Beissen , Kuantay Boshkayev , Hernando Quevedo

Buchdahl, by imposing a few physical assumptions on the matter, i.e., its density is a nonincreasing function of the radius and the fluid is a perfect fluid, and on the configuration, such as the exterior is the Schwarzschild solution,…

General Relativity and Quantum Cosmology · Physics 2016-03-23 José P. S. Lemos , Vilson T. Zanchin

We explore a class of compact charged spheres made of a charged perfect fluid with a polytropic equation of state. The charge density is chosen to be proportional to the energy density. The study is performed by solving the…

General Relativity and Quantum Cosmology · Physics 2014-08-11 José D. V. Arbañil , José P. S. Lemos , Vilson T. Zanchin

A family of exact relativistic stellar models is described. The family generalizes Buchdahl's n=1 polytropic solution. The matter content is a perfect fluid and, excluding Buchdahl's original model, it behaves as a liquid at low pressures…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kjell Rosquist

We study equilibrium states in relativistic galactic dynamics which are described by solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Mikael Fjällborg , J. Mark Heinzle , Claes Uggla

Using relativistic kinetic theory, we study spherically symmetric, static equilibrium configurations of a collisionless Maxwell-Boltzmann gas with non-standard self-interactions, modelled by an effective one--particle force. The resulting…

Astrophysics · Physics 2009-11-10 Alexander Balakin , Roberto A. Sussman , Winfried Zimdahl

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