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Hartle's model provides the most widely used analytic framework to describe isolated compact bodies rotating slowly in equilibrium up to second order in perturbations in the context of General Relativity. Apart from some explicit…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Borja Reina , Raül Vera

Hartle's model describes the equilibrium configuration of a rotating isolated compact body in perturbation theory up to second order in General Relativity. The interior of the body is a perfect fluid with a barotropic equation of state, no…

General Relativity and Quantum Cosmology · Physics 2015-08-11 Borja Reina , Raül Vera

The equilibrium configurations of slowly rotating anisotropic self-gravitating fluids are computed using the extended Hartle structure equations, including anisotropic effects, derived in our previous paper. We focus on the so-called…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Philip Beltracchi , Camilo Posada

In this work, we study the impact of anisotropy on slowly rotating neutron stars by extending the Hartle-Thorne formalism in general relativity to include anisotropy in pressure up to second order in the angular velocity. We assess the…

General Relativity and Quantum Cosmology · Physics 2024-10-10 L. M. Becerra , E. A. Becerra-Vergara , F. D. Lora-Clavijo

The present paper is devoted to a study of the equilibrium configurations of slowly rotating anisotropic stars in the framework of general relativity. For that purpose, we provide the equations of structure where the rotation is treated to…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Philip Beltracchi , Camilo Posada

The influence of the rotation on the total masses and radii of the neutron stars are calculated by the Hartle's slow rotation formalism, while the equation of state is considered in a relativistic $\sigma-\omega$ model. Comparing with the…

Astrophysics · Physics 2009-11-10 De-hua Wen , Wei Chen , Xian-ju Wang , Bao-quan Ai , Guo-tao Liu , Dong-qiao Dong , Liang-gang Liu

Many recent observations give restrictions to the equation of state (EOS) for high-density matter. Theoretical studies are needed to try to elucidate these EOSs at high density and/or temperature. With the many known rapidly rotating…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Tomoki Endo

Fast rotation of compact stars (at submillisecond period) and, in particular, their stability, are sensitive to the equation of state (EOS) of dense matter. Recent observations of XTE J1739-285 suggest that it contains a neutron star…

Astrophysics · Physics 2008-05-26 P. Haensel , J. L. Zdunik , M. Bejger

We identify combinations of observables for rotating neutron stars that can one day bear on the question of whether there can be first order phase transitions in the neutron matter therein. We employ the Hartle-Thorne theory for stationary,…

Nuclear Theory · Physics 2023-11-08 Pablo Navarro Moreno , Felipe J. Llanes-Estrada , Eva Lope-Oter

In this chapter we will introduce an effective equation of state (EoS) model based on polytropes that serves to study the so called "mass twins" scenario, where two compact stars have approximately the same mass but (significant for…

High Energy Astrophysical Phenomena · Physics 2020-04-21 David Blaschke , David Edwin Alvarez-Castillo , Alexander Ayriyan , Hovik Grigorian , Noshad Khosravi Lagarni , Fridolin Weber

The back-bending phenomenon for compact stars is studied by means of analytical equations of state, for both constant-pressure phase transitions and the transitions through the mixed-phase region. We restrict ourselves to the case of normal…

Astrophysics · Physics 2007-05-23 J. L. Zdunik , M. Bejger , P. Haensel , E. Gourgoulhon

The equation of state (EOS) of high-density matter is still not clear and several recent observations indicate restrictions to EOSs. Theoretical studies should thus elucidate EOSs at high density and/or high temperature. Many theoretical…

High Energy Astrophysical Phenomena · Physics 2014-11-04 Tomoki Endo

In this theoretical study, we report an investigation of the equations of state (EoSs) ofhyper-nuclear matter and its composition as a function of density within the framework of effective field theory motivated relativistic mean field…

Nuclear Theory · Physics 2017-08-03 M. Bhuyan , B. V. Carlson , S. -G. Zhou , S. K. Patra

We discuss slowly-rotating, general relativistic, superfluid neutron stars in the Hartle-Thorne formulation. The composition of the stars is described by a simple two-fluid model which accounts for superfluid neutrons and all other…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Eneko Aranguren , José A. Font , Nicolas Sanchis-Gual , Raül Vera

A considerable effort has been dedicated recently to the construction of generic equations of state (EOSs) for matter in neutron stars. The advantage of these approaches is that they can provide model-independent information on the interior…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Carlo Musolino , Christian Ecker , Luciano Rezzolla

We build slowly rotating anisotropic neutron stars using the Hartle-Thorne formalism, employing three distinct anisotropy models--Horvat, Bowers-Liang, and a covariant model--to characterize the relationship between radial and tangential…

High Energy Astrophysical Phenomena · Physics 2025-04-24 L. M. Becerra , E. A. Becerra-Vergara , F. D. Lora-Clavijo

The scheme developed by Hartle for describing slowly rotating bodies in 1967 was applied to the simple model of constant density by Chandrasekhar and Miller in 1974. The pivotal equation one has to solve turns out to be one of Heun's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Petroff

We study isotropic and slowly-rotating stars made of dark energy adopting the extended Chaplygin equation-of-state. We compute the moment of inertia as a function of the mass of the stars, both for rotating and non-rotating objects. The…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Grigoris Panotopoulos , Ángel Rincón , Ilídio Lopes

We model a rotating star as a compressible fluid subject to gravitational forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow it to be variable. We consider a star that steadily rotates…

Analysis of PDEs · Mathematics 2022-04-19 Juhi Jang , Walter A. Strauss , Yilun Wu

This paper investigates how a self bound equation of state (EOS), which describes strange quark stars, affects the rotational properties of compact stars, focusing on deviations from universal relations governing gravitational mass and…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Andreas Konstantinou
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