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Static spherically symmetric anisotropic source has been studied for the Einstein-Maxwell field equations assuming the erstwhile cosmological constant $ \Lambda $ to be a space-variable scalar, viz., $ \Lambda = \Lambda(r) $. Two cases have…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Saibal Ray , Sumana Bhadra , Anand S. Sengupta

We study systematically stationary solutions to the coupled Vlasov and Poisson equations which have `self-similar' or scaling symmetry in phase space. In particular, we find analytically {\it all} spherically symmetric distribution…

天体物理学 · 物理学 2015-06-24 R. N. Henriksen , Lawrence M. Widrow

In this present work, we have obtained a singularity-free spherically symmetric stellar model with anisotropic pressure in the background of Einstein's general theory of relativity. The Einstein's field equations have been solved by…

广义相对论与量子宇宙学 · 物理学 2021-06-23 Piyali Bhar , Pramit Rej , P. Mafa Takisa , M. Zubair

So far all known singularity-free cosmological models are cylindrically symmetric. Here we present a new family of spherically symmetric non-singular models filled with imperfect fluid and radial heat flow, and satisfying the weak and…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Naresh Dadhich

In this paper we present a strange stellar model using Tolman $V$ type metric potential employing simplest form of the MIT bag equation of state (EOS) for the quark matter. We consider that the stellar system is spherically symmetric,…

广义相对论与量子宇宙学 · 物理学 2018-08-08 Dibyendu Shee , Debabrata Deb , Shounak Ghosh , Saibal Ray , B. k. Guha

I review three problems in astrophysics of compacts stars: (i) the phase diagram of warm pair-correlated nuclear matter a sub-saturation densities at finite isospin asymmtery; (ii) the Standard Model neutrino emission from superfluid phases…

核理论 · 物理学 2013-06-28 Armen Sedrakian

The goal of this work is to develop physical models for spherically symmetric systems in the realm of $f(Q)$ gravity. The field equations are set up for anisotropic fluid and formulate these equations using physical ansatz of Vaidya-Tikekar…

广义相对论与量子宇宙学 · 物理学 2025-03-28 M. Awais , M. Azam

We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound objects. We consider the full general relativistic treatment of this problem and obtain exact solutions for various form of…

天体物理学 · 物理学 2007-05-23 Krsna Dev , Marcelo Gleiser

We extract new classes of anisotropic solutions in the framework of mimetic gravity, by applying the Tolman-Finch-Skea metric and a specific anisotropy not directly depending on it, and by matching smoothly the interior anisotropic solution…

广义相对论与量子宇宙学 · 物理学 2023-04-19 G. G. L. Nashed , Emmanuel N. Saridakis

This paper studies the structural formation of various spherically symmetric anisotropic configured stars in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity under the influence of electromagnetic field, where…

广义相对论与量子宇宙学 · 物理学 2023-07-24 M. Sharif , Tayyab Naseer

Stars can be treated as self-gravitating fluid. Krori and Barua (1975) gave an analytical solutions to that kind of fluids. In this connection, we propose a de-Sitter model for an anisotropic strange star with the Krori-Barua spacetime. We…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Mehedi Kalam , Farook Rahaman , Saibal Ray , Sk. Monowar Hossein , Indrani Karar , Jayanta Naskar

Anisotropic spherically symmetric solutions within the framework of the Brans-Dicke theory are uncovered through a unique gravitational decoupling approach involving a minimal geometric transformation. This transformation effectively…

广义相对论与量子宇宙学 · 物理学 2023-11-01 Kazuharu Bamba , M. Z. Bhatti , Z. Yousaf , Z. Shoukat

Anisotropic stresses are ubiquitous in nature, but their modeling in General Relativity is poorly understood and frame dependent. We introduce the first study on the dynamical properties of anisotropic self-gravitating fluids in a covariant…

广义相对论与量子宇宙学 · 物理学 2019-06-05 Guilherme Raposo , Paolo Pani , Miguel Bezares , Carlos Palenzuela , Vitor Cardoso

This paper aims to explore some realistic configurations of anisotropic spherical structures in the background of metric $f(R)$ gravity, where $R$ is the Ricci scalar. The solutions obtained by Krori and Barua are used to examine the nature…

广义相对论与量子宇宙学 · 物理学 2017-11-08 Z. Yousaf , M. Sharif , M. Ilyas , M. Z. Bhatti

Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Alan Coley , Martin Goliath

An exact rotating anisotropic fluid solution and a family of exact rotating anisotropic fluid solutions are presented which satisfy all energy conditions for certain values of their parameters. The components of the Ricci tensor the…

广义相对论与量子宇宙学 · 物理学 2016-02-15 E. Kyriakopoulos

Considering Vaidya-Tikekar metric, we obtain a class of solutions of the Einstein-Maxwell equations for a charged static fluid sphere. The physical 3-space (t=constant) here is described by pseudo-spheroidal geometry. The relativistic…

太阳与恒星天体物理 · 物理学 2015-06-05 Pradip Kr. Chattopadhyay , Rumi Deb , Bikash Chandra Paul

General exact (N+2)-dimensional,n>=2 solutions in general theory of relativity of Einstein-Maxwell field equations for static anisotropic spherically symmetric distribution of charged fluid are expressed in terms of radial pressure.…

综合物理 · 物理学 2011-09-26 Naveen Bijalwan

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

A family of solutions defining the interior of a static, spherically symmetric, compact anisotropic star is described by considering a new form of the equation of state (EOS). The analytic solution is derived by using the Finch and Skea…

广义相对论与量子宇宙学 · 物理学 2024-02-09 R. Sharma , B. S. Ratanpal , Rinkal Patel