General Solution for a Class of Static Charged Spheres

Sharma, Ranjan; Mukherjee, S.; Maharaj, S. D.

doi:10.1023/a:1010272130226

Cited by 155 publications

(110 citation statements)

References 11 publications

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“…One way to overcome this singularity is to include electrical charge to the neutral bodies. It has been suggested that gravitational collapse can be avoided in the presence of charge where the gravitational attraction is counter-balanced by the electrical repulsion in addition to the pressure gradient [61][62][63]. To this end questions came up regarding the stability of the charged sphere and also about the amount of charge of the star.…”

Section: Resultsmentioning

confidence: 99%

Spherically symmetric charged compact stars

Maurya

Gupta

Ray³

et al. 2015

Eur. Phys. J. C

129

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In this article we consider the static spherically symmetric metric of embedding class 1. When solving the Einstein-Maxwell field equations we take into account the presence of ordinary baryonic matter together with the electric charge. Specific new charged stellar models are obtained where the solutions are entirely dependent on the electromagnetic field, such that the physical parameters, like density, pressure etc. do vanish for the vanishing charge. We systematically analyze altogether the three sets of Solutions I, II, and III of the stellar models for a suitable functional relation of ν(r ). However, it is observed that only the Solution I provides a physically valid and well-behaved situation, whereas the Solutions II and III are not well behaved and hence not included in the study. Thereafter it is exclusively shown that the Solution I can pass through several standard physical tests performed by us. To validate the solution set presented here a comparison has also been made with that of the compact stars, like R X J 1856 − 37, Her X − 1, P S R 1937 + 21, P S R J 1614 − 2230, and P S R J 0348 + 0432, and we have shown the feasibility of the models.

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Section: Resultsmentioning

confidence: 99%

Spherically symmetric charged compact stars

Maurya

Gupta

Ray³

et al. 2015

Eur. Phys. J. C

129

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“…It has been shown that presence of electromagnetic field influences the values of redshift, luminosities and maximum mass of CO [2,3]. Gupta and Maurya [4,5] found regular and well behaved charged models of super-dense star for particular choice of metric potential g 44 and electric field intensity.…”

Section: Introductionmentioning

confidence: 99%

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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“…The physical features of quark stars have been recently investigated by Malaver [8], Mafa Takisa et al [9], Sunzu et al [10] and Paul et al [11]. The investigations of Sharma et al [12] show that the redshift, luminosity and maximum mass of a compact body are affected by the electric field and anisotropy. The works of Mak and Harko [13], Komathiraj and Maharaj [14,15] and Maharaj and Komathiraj [16] show the significant role of the electromagnetic field in describing the gravitational behaviour of compact stars composed of quark matter.…”

Section: Introductionmentioning

confidence: 99%

New charged anisotropic compact models

Matondo

Maharaj

2016

Astrophys Space Sci

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We find new exact solutions to the Einstein-Maxwell field equations which are relevant in the description of highly compact stellar objects. The relativistic star is charged and anisotropic with a quark equation of state. Exact solutions of the field equations are found in terms of elementary functions. It is interesting to note that we regain earlier quark models with uncharged and charged matter distributions. A physical analysis indicates that the matter distributions are well behaved and regular throughout the stellar structure. A range of stellar masses are generated for particular parameter values in the electric field. In particular the observed mass for a binary pulsar is regained.

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General Solution for a Class of Static Charged Spheres

Cited by 155 publications

References 11 publications

Spherically symmetric charged compact stars

Spherically symmetric charged compact stars

Anisotropic charged physical models with generalized polytropic equation of state

New charged anisotropic compact models

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