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In this article, a cylindrical symmetry and static solution of the Einstein's field equations, was presented. The space-time is conformally flat, regular everywhere except on the symmetry axis where it possesses a naked curvature…

综合物理 · 物理学 2018-04-18 Faizuddin Ahmed , Farook Rahaman

We apply the 1+1+2 covariant semi-tetrad approach to describe a general static and spherically symmetric relativistic stellar object which contains two fluids with anisotropic pressure. The corresponding Tolman-Oppenheimer-Volkoff equations…

广义相对论与量子宇宙学 · 物理学 2023-01-04 Nolene F. Naidu , Sante Carloni , Peter Dunsby

The properties of LRS class II perfect fluid space-times are analyzed using the description of geometries in terms of the Riemann tensor and a finite number of its covariant derivatives. In this manner it is straightforward to obtain the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 M. Marklund , M. Bradley

We construct spherically symmetric solutions to the Einstein-Euler equations, which give models of gaseous stars in the framework of the general theory of relativity. We assume a realistic barotropic equation of state. Equilibria of the…

偏微分方程分析 · 数学 2016-06-08 Tetu Makino

We analyze the 3-parameter family of exact, regular, static, spherically symmetric perfect fluid solutions of Einstein's equations (corresponding to a 2-parameter family of equations of state) due to Pant and Sah and "rediscovered" by…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Walter Simon

We establish a new algorithm that generates a new solution to the Einstein field equations, with an anisotropic matter distribution, from a seed isotropic solution. The new solution is expressed in terms of integrals of an isotropic…

广义相对论与量子宇宙学 · 物理学 2014-11-17 M. Chaisi , S. D. Maharaj

We investigate static spherically symmetric perfect fluid models in Newtonian gravity for barotropic equations of state that are asymptotically polytropic at low and high pressures. This is done by casting the equations into a 3-dimensional…

天体物理学 · 物理学 2009-11-07 J. Mark Heinzle , Claes Uggla

A brief summary of results on kinematic self-similarities in general relativity is given. Attention is focussed on locally rotationally symmetric models admitting kinematic self-similar vectors. Coordinate expressions for the metric and the…

广义相对论与量子宇宙学 · 物理学 2016-08-31 A. M. Sintes

We examine homogeneous but anisotropic cosmologies in scalar-tensor gravity theories, including Brans-Dicke gravity. We present a method for deriving solutions for any isotropic perfect fluid with a barotropic equation of state…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Jose P. Mimoso , David Wands

A general formula for the metric as an explicit function of the generic energy-momentum tensor is given which satisfies static plane symmetric Einstein's equations with cosmological constant.In order to illustrate it, the solutions for the…

广义相对论与量子宇宙学 · 物理学 2013-08-26 Leandro G. Gomes

We investigate some exact static cylindrically symmetric solutions for a perfect fluid in the metric $f(R)$ theory of gravity. For this purpose, three different families of solutions are explored. We evaluate energy density, pressure, Ricci…

广义相对论与量子宇宙学 · 物理学 2015-06-12 M. Sharif , Sadia Arif

We analyze the interpretation of the spherically symmetric perfect fluid solutions that admit a flat synchronization orthogonal to the fluid flow as a thermodynamic perfect fluid in local thermal equilibrium. The ideal gas sonic condition…

广义相对论与量子宇宙学 · 物理学 2022-06-09 Salvador Mengual , Joan Josep Ferrando

A general formalism recently proposed to study Newtonian polytropes for anisotropic fluids is here extended to the relativistic regime. Thus, it is assumed that a polytropic equation of state is satisfied by, both, the radial and the…

广义相对论与量子宇宙学 · 物理学 2020-07-02 G. Abellan , E. Fuenmayor , E. Contreras , L. Herrera

It is shown that an effective anisotropic spherically symmetric fluid model with heat flow can absorb the addition to a perfect fluid of pressure anisotropy, heat flow, bulk and shear viscosity, electric field and null fluid.

广义相对论与量子宇宙学 · 物理学 2009-12-15 B. V. Ivanov

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres consist of an anisotropic fluid with a charge distribution that gives rise…

广义相对论与量子宇宙学 · 物理学 2022-02-18 Krsna Dev

We introduce a physical characterization of the static and stationary perfect fluid solutions of the Einstein field equations with a single or 2-component perfect fluid sources, according to their gravitoelectric and gravitomagnetic fields.…

广义相对论与量子宇宙学 · 物理学 2025-07-02 M. Nouri-Zonoz , A. Nouri-Zonoz

We employ the gravitational decoupling approach for static and spherically symmetric systems to develop a simple and powerful method in order to a) continuously isotropize any anisotropic solution of the Einstein field equations, and b)…

广义相对论与量子宇宙学 · 物理学 2019-10-11 R. Casadio , E. Contreras , J. Ovalle , A. Sotomayor , Z. Stuchlick

The full set of equations governing the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses is deployed and used to carry out a general study on the behaviour of such systems, in the context of…

广义相对论与量子宇宙学 · 物理学 2011-07-19 L. Herrera , A. Di Prisco , J. Martin , J. Ospino , N. O. Santos , O. Troconis

A previously found definition of complexity for spherically symmetric fluid distributions [1], is extended to axially symmetric static sources. In this case there are three different complexity factors, defined in terms of three structure…

广义相对论与量子宇宙学 · 物理学 2019-03-20 L. Herrera , A. Di Prisco , J. Ospino

Exact solutions of the Einstein's field equations describing a spherically symmetric cosmological model without a big bang or any other kind of singularity recently obtained by Dadhich and Patel (2000) are revisited. The matter content of…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Anirudh Pradhan , Kashika Srivastava , Amrit Lal Ahuja