New anisotropic models from isotropic solutions

Maharaj, S. D.; Chaisi, M.

doi:10.1002/mma.665

Cited by 53 publications

(37 citation statements)

References 19 publications

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“…For this form of energy density and the linear equation of state (1), it is possible to fully integrate the Einstein field equations and exhibit an exact solution following the integration procedure of [12]. (Note that it is possible to fully integrate the Einstein field equations for a wide range of choices of µ which are physically reasonable [15,16].) The exact solution is given by…”

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confidence: 99%

Equation of state for anisotropic spheres

Maharaj

Chaisi

2006

Gen Relativ Gravit

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We present a new class of exact interior solutions for anisotropic spheres to the Einstein field equations with a prescribed energy density. This category of solutions has similar energy density profiles to the models of Chaisi and Maharaj (Gen. Rel. Grav. 37, 1177-1189) whose approach we follow in the integration process. A distinguishing feature of the solutions presented is that they satisfy a barotropic equation of state linearly relating the radial pressure to the energy density. Keywords Anisotropic relativistic stars · Exact solutions · Compact spheresSince the pioneering work of Bowers and Liang [1] on anisotropic stars many researchers, in recent years, have studied anisotropic matter in the context of general relativity; these include the investigations of Dev and Gleiser [2,3], Mak and Harko [4,5] and Herrera et al. [6,7] in different relativistic astrophysical situations. This research has been motivated on the grounds that anisotropy affects the critical mass, surface redshift and stability of highly compact relativistic bodies. Anisotropic matter appears to be a vital ingredient in the modelling of boson stars and strange matter with densities higher than neutron stars as pointed out by Mak and Harko [4] and Sharma and Mukherjee [8]

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confidence: 99%

Equation of state for anisotropic spheres

Maharaj

Chaisi

2006

Gen Relativ Gravit

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“…The solutions found depend smoothly on the parameter α; isotropic and uncharged solutions can be regained for α = 0. For recent analyses of the physics of anisotropic matter see Chaisi and Maharaj [15], Dev and Gleiser [16], [17] and Maharaj and Chaisi [10].…”

Section: Discussionmentioning

confidence: 99%

Exact models for isotropic matter

Thirukkanesh¹,

Maharaj

2006

Class. Quantum Grav.

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Abstract. We study the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes. The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients. We demonstrate that this difference equation can be solved in general using mathematical induction. Consequently we can find an explicit exact solution to the EinsteinMaxwell field equations. The metric functions, energy density, pressure and the electric field intensity can be found explicitly. Our result contains models found previously including the neutron star model of Durgapal and Bannerji. By placing restrictions on parameters arising in the general series we show that the series terminate and there exist two linearly independent solutions. Consequently it is possible to find exact solutions in terms of elementary functions, namely polynomials and algebraic functions.

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“…We can make a change of coordinates, r * = e −ν dr , so that (35) reduces to a Schrödinger type equation:…”

Section: Axial Stabilitymentioning

confidence: 99%