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The general exact solution of the Einstein-matter field equations describing spherically symmetric shells satisfying an equation of state in closed form is discussed under general assumptions of physical reasonableness. The solutions split…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Kijowski , G. Magli , D. Malafarina

In this article, an exact solution of Einstein's field equations for spherically symmetric anisotropic matter distributions in isotropic coordinates is obtained. For this, the solution has been obtained by using a generalized physically…

广义相对论与量子宇宙学 · 物理学 2025-08-25 B S Ratanpal , Bhavesh Suthar

Within the scope of a spherically symmetric space-time we study the role of different types of matter in the formation of different configurations with spherical symmetries. Here we have considered matter with barotropic equation of state,…

广义相对论与量子宇宙学 · 物理学 2021-11-22 Bijan Saha

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

统计力学 · 物理学 2009-11-11 Michael J. Caola

A method for the fast and accurate solution of the radiative transfer equation in plane-parallel media with coherent isotropic scattering is presented. This largely analytical approach uses the formalism of meromorphic functions in order to…

天体物理学 · 物理学 2007-05-23 G. V. Efimov , N. V. Kryzhevoi , W. von Waldenfels , R. Wehrse

The general solution of the system of General Relativity equations has been found for isotropic Universe with the flat spatial distribution and synchronized time taking into account a perfect dust and the cosmological constant.…

广义相对论与量子宇宙学 · 物理学 2017-06-20 Sergey Gubanov

We present a detailed analysis of a general relativistic static spherical symmetric distribution in which both the radial and tangential pressures follow a master polytropic equation of state that generalizes the standard treatment and…

广义相对论与量子宇宙学 · 物理学 2023-03-09 P. León , E. Fuenmayor , E. Contreras

It is known that de Sitter spacetime can be seen as the solution of field equation for completely isotropic matter. In the present paper a new class of exact solutions in spherical symmetry is found and discussed, such that the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Roberto Giambo'

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different…

广义相对论与量子宇宙学 · 物理学 2014-05-05 Iftikhar Ahmad , Maqsoom Fatima , Najam-ul-Basat

We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear and may be applied to strange stars with…

广义相对论与量子宇宙学 · 物理学 2009-01-16 S. Thirukkanesh , S. D. Maharaj

We reconsider some subtle points concerning the relativistic treatment of the gravitational fields generated by spherically symmetric structures.

综合物理 · 物理学 2007-07-16 Angelo Loinger , Tiziana Marsico

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

Dark energy models and modified gravity theories have been actively studied and the behaviors in the solar system have been also carefully investigated in a part of the models. However, the isotropic solutions of the field equations in the…

广义相对论与量子宇宙学 · 物理学 2018-01-24 Jiro Matsumoto

The static, charged, spherically symmetric matter distribution have been studied by considering polytropic equation of state. Two polytropic indices have been considered for study. The plots of density, radial pressure, tangential pressure,…

广义相对论与量子宇宙学 · 物理学 2019-11-14 B. S. Ratanpal

Motivated by studies on gravitational lenses, we present an exact solution of the field equations of general relativity, which is static and spherically symmetric, has no mass but has a non-vanishing spacelike components of the…

广义相对论与量子宇宙学 · 物理学 2012-03-15 Emanuel Gallo , Osvaldo Moreschi

We study the matching of a general spherically symmetric spacetime with a Vaidya-Reissner-Nordstrom solution. To that end, we study the properties of spherically symmetric electromagnetic fields and develop the proper gravitational and…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Francesc Fayos , Jose M. M. Senovilla , Ramon Torres

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions…

综合物理 · 物理学 2016-10-24 Gamal G. L. Nashed

We analyze the spherically symmetric Einstein field equation with a massless complex scalar field. We can use the Newtonian solutions to fit the rotation curve data of spiral and dwarf galaxies. From the general relativistic solutions, we…

天体物理学 · 物理学 2007-05-23 Franz E. Schunck

In this work, we investigate radially symmetric solutions in arbitrary dimensions in scalar field models in the presence of the cuscuton term. We introduce a first-order formalism compatible with the equation of motion which supports field…

高能物理 - 理论 · 物理学 2025-03-12 D. Bazeia , M. A. Marques , R. Menezes , M. Paganelly

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

广义相对论与量子宇宙学 · 物理学 2017-10-04 T. Harko , M. K. Mak
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