Charged relativistic spheres with generalized potentials

Thirukkanesh, S.; Maharaj, S. D.

doi:10.1002/mma.1060

Cited by 51 publications

(30 citation statements)

References 19 publications

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“…3, we have plotted the anisotropy parameter such that (0) = 0 as P t and P r are equal at center, which is desirable physical condition described by Bowers and Liang [39] and Ivanov [40]. For η = sess the opposite behavior which is similar to Thirukkanesh and Maharaj [10]. Figure 4 depicts the behavior of speed of sound d P r dρ which satisfies the casuality condition explained by Delgaty [1].…”

Section: Physical Analysismentioning

confidence: 75%

“…The equivalent form of Eqs. (9)- (16), with linear EoS, was analyzed by Thirukanesh and Maharaj [10] and with quadratic EoS by Feroze and Siddiqui [17] as well as by Maharaj and Takisa [18]. Also, Takisa and Maharaj [26] dealt it with polytropic EoS.…”

Section: The Fundamental Anisotropic Equationsmentioning

confidence: 99%

“…With the assumption that the hypersurface are spheroidal (t = constant), Komathiraj and Maharaj [9] found new class of exact solution for particular values of electromagnetic field and spheroidal parameter. The new exact solutions of Einstein-Maxwell field equations have been derived by Thirukkanesh and Maharaj [10] and Komathiraj and Maharaj [11], for a particular form of electric field intensity. The obtained models do not satisfy the barotropic equation of state (EoS).…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic charged physical models with generalized polytropic equation of state

Nasim

Azam

2018

Eur. Phys. J. C

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In this paper, we found the exact solutions of Einstein-Maxwell equations with generalized polytropic equation of state (GPEoS). For this, we consider spherically symmetric object with charged anisotropic matter distribution. We rewrite the field equations into simple form through transformation introduced by Durgapal (Phys Rev D 27:328, 1983) and solve these equations analytically. For the physically acceptability of these solutions, we plot physical quantities like energy density, anisotropy, speed of sound, tangential and radial pressure. We found that all solutions fulfill the required physical conditions. It is concluded that all our results are reduced to the case of anisotropic charged matter distribution with linear, quadratic as well as polytropic equation of state.

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Section: Physical Analysismentioning

confidence: 75%

Section: The Fundamental Anisotropic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anisotropic charged physical models with generalized polytropic equation of state

Nasim

Azam

2018

Eur. Phys. J. C

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“…Thirukkanesh and Maharaj [16] generated a new class of solutions in closed form using a systematic series analysis. This approach generates a number of difference equations which must be solved explicitly from first principles.…”

Section: Introductionmentioning

confidence: 99%

Relativistic stellar models

John

Maharaj

2011

Pramana - J Phys

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We obtain a class of solutions to the Einstein-Maxwell equations describing charged static spheres. Upon specifying particular forms for one of the gravitational potentials and the electric field intensity, the condition for pressure isotropy is transformed into a hypergeometric equation with two free parameters. For particular parameter values we recover uncharged solutions corresponding to specific neutron star models. We find two charged solutions in terms of elementary functions for particular parameter values. The first charged model is physically reasonable and the metric functions and thermodynamic variables are well behaved. The second charged model admits a negative energy density and violates the energy conditions.

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“…Di Prisco et al [15] explored the effect of charge on the relation between the Weyl tensor and the inhomogeneity of energy density and concluded that Coulomb repulsion might prevent the gravitational collapse of the sphere. Thirukkanesh and Maharaj [16] investigated that gravitational attraction is compensated by the Coulomb's repulsive force along with gradient pressure in a gravitational collapse. Sharif and Abbas [17] discussed the effect of electromagnetic field on spherically symmetric gravitational collapse with cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

Effects of electromagnetic field on the dynamical instability of expansionfree gravitational collapse

Sharif

Azam

2012

Gen Relativ Gravit

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In this paper, we discuss the effects of electromagnetic field on the dynamical instability of a spherically symmetric expansionfree gravitational collapse. Darmois junction conditions are formulated by matching interior spherically symmetric spacetime to exterior Reissner-Nordström spacetime. We investigate the role of different terms in the dynamical equation at Newtonian and post Newtonian regimes by using perturbation scheme. It is concluded that instability range depends upon pressure anisotropy, radial profile of energy density and electromagnetic field, but not on the adiabatic index Γ. In particular, the electromagnetic field reduces the unstable region.

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Charged relativistic spheres with generalized potentials

Cited by 51 publications

References 19 publications

Anisotropic charged physical models with generalized polytropic equation of state

Anisotropic charged physical models with generalized polytropic equation of state

Relativistic stellar models

Effects of electromagnetic field on the dynamical instability of expansionfree gravitational collapse

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