New exact solutions for a charged fluid sphere in general relativity

Hajj-Boutros, Joseph; Sfeila, J.

doi:10.1007/bf00770717

Cited by 8 publications

(7 citation statements)

References 14 publications

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“…where m is an integration constant which must be positive for an expanding universe. Equation (10) is the most general solution of the LRS Bianchi I model filled with a perfect fluid. However, this solution contains the derivative of B, therefore, is itself a first order linear differential equation in B.…”

Section: The Model and Solutionmentioning

confidence: 99%

LRS Bianchi I model with perfect fluid equation-of-state

Singh

Беешам

2019

Int. J. Mod. Phys. D

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The general solution of the field equations in LRS Bianchi-I space-time with perfect fluid equation-of-state (EoS) is presented. The models filled with dust, vacuum energy, Zel'dovich matter and disordered radiation are studied in detail. A unified and systematic treatment of the solutions is presented, and some new solutions are found. The dust, stiff matter and disordered radiation models describe only a decelerated universe, whereas the vacuum energy model exhibits a transition from a decelerated to an accelerated phase. Keywords: LRS Bianchi I anisotropic model; perfect fluid equation of state. December 12, 2019 1:34 WSPC/INSTRUCTION FILE LRSBianchiI-IJMPD 2 Vijay Singh and Aroonkumar Beeshamfilled with a perfect fluid for which the classical barotropic equation-of-state (EoS) p = (γ − 1)ρ does not hold 8 . Further, the authors generated two new classes of LRS Bianchi type II models with stiff matter 9 . Hajj-Boutros and Sfeila 10 elaborated this new generation technique in the case of a static spherically-symmetric distribution of charged fluid satisfying a barotropic equation of state, i.e., p = (γ − 1)ρ. In continuation of the series of their work, via a suitable scale transformation, they showed that the condition of isotropy of pressure in a Bianchi I space-time filled with perfect fluid reduces to a linear second-order differential equation which can be used for generating many new LRS Bianchi I solutions 11 . Following their approach, Ram 12,13,14 , and Singh and Ram 15 also added some new classes of LRS Bianchi type I and type VI 0 perfect fluid models. In 1994, Mazumder 16 showed that the field equations of the LRS Bianchi I space-time filled with a perfect fluid are solvable for arbitrary cosmic scale functions. He tried to generalise the solutions found in Refs. 11, 14. However, the main issue with generating schemes is that the matter energy density ρ and pressure p do not satisfy a barotropic equation of state, in general. Another weak point of these models is the consideration of known solutions to obtain exact solution of the field equations. In this paper, we discuss the general solution of the field equations in LRS Bianchi I space-time with a perfect fluid equation of state.The paper is organized as follows. In Sec. 2, we present the field equations and general solution with a perfect fluid equation of state in the framework of the LRS Bianchi I space-time. In subsections 2.1-2.5, we present the solutions for the dust, vacuum energy, Zel'dovich stiff matter and radiation models, respectively, and discuss their physical and cosmological significance. The summary of the results is accumulated in Sec. 3.

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Section: The Model and Solutionmentioning

confidence: 99%

LRS Bianchi I model with perfect fluid equation-of-state

Singh

Беешам

2019

Int. J. Mod. Phys. D

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“…There is a large literature on interior solutions to the exterior Reissner-Nordström metric. Much of this work focuses on exact solutions, for example, [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], these solutions often found by "electrifying" a noncharged solution. [7] studies the effects of charge on aspects like the mass-radius relation of stellar configurations, and even has a version of (3) in their equation (24).…”

Section: Introductionmentioning

confidence: 99%

General Relativistic Non-Neutral White Dwarf Stars

Amorim¹,

Hund²

2021

Preprint

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“…Gao and Zhang (2006) extended their work Gao and Zhang (2004) with the Mc Vittie (1933) solution is generalized to the fourdimensional charged black hole to higher dimensions. Hassaine and Martinez (2008) obtained charged black hole solution of Einstein-Maxwell equation in arbitrary higher dimensions with non-linear electrodynamic sources. The work of the above authors motivates one to consider the further work in the context of higher dimensional space-time.…”

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confidence: 98%

“…In the present work, we have generalized the technique used by Hajj-Boutros and Sfeila (1986) in the frame work of higher-dimensional space-time and obtained exact solutions of Einstein-Maxwell field equations for static spherically symmetric distribution of charged perfect fluid. The paper is organized as follows:…”

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confidence: 98%

Higher dimensional exact solutions for a charged fluid sphere in general theory of relativity

Khadekar

Shobhane²

2008

Astrophys Space Sci

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The exact higher dimensional solutions of Einstein-Maxwell field equations for spherically symmetric distribution of charged perfect fluid are obtained by using the method originally used by Hajj-Boutros and Sfeila (Gen. Relativ. Gravit. 18(4):395, 1986) for four-dimensional space-time. The new exact solutions have been generated from those of Khadekar et al. (J. Indian Math. Soc. 68(1-4):33, 2001), Humi and Mansour (Phys. Rev. D 29(6):1076, 1984) and Banerjee and Santos (J. Math. Phys. 22(4):824, 1981) in the frame work of higher dimensional space-time. The various physical properties are also discussed.

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New exact solutions for a charged fluid sphere in general relativity

Cited by 8 publications

References 14 publications

LRS Bianchi I model with perfect fluid equation-of-state

LRS Bianchi I model with perfect fluid equation-of-state

General Relativistic Non-Neutral White Dwarf Stars

Higher dimensional exact solutions for a charged fluid sphere in general theory of relativity

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