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We show that it is possible to obtain credible static anisotropic spherically symmetric matter configurations starting from known density profiles and satisfying a nonlocal equation of state. These particular types of equation of state…

广义相对论与量子宇宙学 · 物理学 2015-06-25 H. Hernandez , L. A. Nunez

We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the…

广义相对论与量子宇宙学 · 物理学 2016-08-15 H. Hernández , L. A. Núñez

Two distinct non-singular interior models that describe anisotropic spherical configurations are presented in this work. We develop the Einstein field equations and the associated mass function in accordance with a static spherical…

广义相对论与量子宇宙学 · 物理学 2025-10-10 M. Sharif , Tayyab Naseer , Hira Shadab

This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of state $P=\kappa {\rho}^{\gamma}+\alpha \rho -\beta$ for a…

广义相对论与量子宇宙学 · 物理学 2022-03-14 Daniel Suárez-Urango , J. Ospino , Héctor Hernández , Luis A. Núñez

We model a compact relativistic body with anisotropic pressures in the presence of an electric field. The equation of state is barotropic with a linear relationship between the radial pressure and the energy density. Simple exact models of…

广义相对论与量子宇宙学 · 物理学 2015-06-17 P. Mafa Takisa , S. D. Maharaj

In this work we evaluate the physical acceptability of relativistic anisotropic spheres modeled by two polytropic equations of state -- with the same newtonian limit -- commonly used to describe compact objects in General Relativity. We…

广义相对论与量子宇宙学 · 物理学 2021-02-02 D. Suárez-Urango , L. A. Núñez , H. Hernández

We model a charged anisotropic relativistic star with a quadratic equation of state. Physical features of an exact solution of the Einstein-Maxwell system are studied by incorporating the effect of the nonlinear term from the equation of…

广义相对论与量子宇宙学 · 物理学 2015-06-23 P. Mafa Takisa , S. D. Maharaj , Subharthi Ray

In this paper, we studied the behavior of relativistic objects with anisotropic matter distribution inthe presence of an electric field considering a gravitational potential Z(x) of Thirukkanesh and Ragel (2013) which depends on an…

广义相对论与量子宇宙学 · 物理学 2014-07-09 Manuel Malaver

We explore the influence of density fluctuations on isotropic and anisotropic configurations, extending the concept of cracking for general relativistic fluid spheres. This concept, conceived to describe the behaviour of anisotropic matter…

广义相对论与量子宇宙学 · 物理学 2016-11-16 Guillermo A. Gonzalez , Anamaria Navarro , Luis A. Nunez

Utilizing an ansatz developed by Maurya and co-workers we present a class of exact solutions of the Einstein-Maxwell field equations describing a spherically symmetric compact object. A detailed physical analysis of these solutions in terms…

广义相对论与量子宇宙学 · 物理学 2017-08-02 S. K. Maurya , M. Govender

We discuss the effect that small fluctuations of local anisotropy of pressure, and energy density, may have on the occurrence of cracking in spherical compact objects, satisfying a polytropic equation of state. Two different kind of…

广义相对论与量子宇宙学 · 物理学 2016-02-17 L. Herrera , E. Fuenmayor , P. León

We show that under particular circumstances a general relativistic spherically symmetric bounded distribution of matter could satisfy a nonlocal equation of state. This equation relates, at a given point, the components of the corresponding…

广义相对论与量子宇宙学 · 物理学 2011-07-19 H. Hernandez , L. A. Nunez , U. Percoco

Using the concept of cracking, we have explored the influence of density fluctuations on isotropic and anisotropic charged matter configurations in General Relativity with "barotropic" equations of state, $P = P(\rho)$ and $P_{\perp}=…

广义相对论与量子宇宙学 · 物理学 2015-05-22 Guillermo A. González , Anamaría Navarro , Luis A. Núñez

In this investigation, we present a singularity free interior solution of the Einstein field equation for a class of anisotropic compact objects in dimensions $D\geq4$. In accordance with the concept of Vaidya and Tikekar, the geometry of…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Koushik Ballav Goswami , Debadri Bhattacharjee , Anirban Saha , Pradip Kumar Chattopadhyay

We introduce a new type of generating theorems in General Relativity for anisotropic, static, spherically symmetric solutions of the Einstein field equations. The results are used to derive a class of solutions that can serve as new models…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Paulo Luz , Sante Carloni

New one-parameter models of non-rotating dynamical particles are derived as isotropic solutions of Einstein's equations with perfect fluid in space-times with FLRW asymptotic behaviour generalizing thus the models proposed recently in [I.…

广义相对论与量子宇宙学 · 物理学 2024-09-10 Ion I. Cotaescu

A new class of solutions describing analytical solutions for compact stellar structures has been developed within the tenets of General Relativity. Considering the inherent anisotropy in compact stars, a stable and causal model for…

广义相对论与量子宇宙学 · 物理学 2021-10-14 Jay Solanki , Bhashin Thakore

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

广义相对论与量子宇宙学 · 物理学 2015-06-12 S. D. Maharaj , P. Mafa Takisa

We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton's constant is allowed to vary with the radial coordinate throughout the star. Assuming…

广义相对论与量子宇宙学 · 物理学 2021-01-26 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

Quasi-local variables, i.e. quantities whose values can be derived from physics accessible within an arbitrarily small neighborhood of a spacetime point, are used to construct the equation of state (EoS) for the anisotropic fluid in the…

广义相对论与量子宇宙学 · 物理学 2011-01-20 Dubravko Horvat , Sasa Ilijic , Anja Marunovic
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