Effects of electromagnetic field on the dynamical instability of cylindrical collapse

Sharif, M.; Azam, M.

doi:10.1088/1475-7516/2012/02/043

Cited by 51 publications

(40 citation statements)

References 29 publications

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“…The usual matter is anisotropic and adiabatic in nature, representing dissipative collapse in the form of the heat flux q and is given by [17,36] …”

Section: Evolution Equationsmentioning

confidence: 99%

Dissipative spherical collapse of charged anisotropic fluid in $$f(R)$$ f ( R ) gravity

Kausar

Noureen

2014

Eur. Phys. J. C

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This manuscript is devoted to the study of the combined effect of a viable f (R) = R + α R n model and the electromagnetic field on the instability range of gravitational collapse. We assume the presence of a charged anisotropic fluid that dissipates energy via heat flow and discuss how the electromagnetic field, density inhomogeneity, shear, and phase transition of astrophysical bodies can be incorporated by a locally anisotropic background. The dynamical equations help to investigate the evolution of self-gravitating objects and lead to the conclusion that the adiabatic index depends upon the electromagnetic background, mass, and radius of the spherical objects.

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“…The usual matter is anisotropic and adiabatic in nature, representing dissipative collapse in the form of the heat flux q and is given by [17,36] …”

Section: Evolution Equationsmentioning

confidence: 99%

Dissipative spherical collapse of charged anisotropic fluid in $$f(R)$$ f ( R ) gravity

Kausar

Noureen

2014

Eur. Phys. J. C

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“…These conditions determine whether the combination of two space-time metrics provides a physically viable solution or not when a hyper-surface divides the space-time into interior and exterior regions. The smooth matching of interior and exterior regions through the first and second fundamental forms [30][31][32][33] yields the following relations on the boundary surface:…”

Section: The Einstein-maxwell Field Equationsmentioning

confidence: 99%

Study of polytropes with generalized polytropic equation of state

et al. 2016

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The aim of this paper is to discuss the theory of Newtonian and relativistic polytropes with a generalized polytropic equation of state. For this purpose, we formulated the general framework to discuss the physical properties of polytropes with an anisotropic inner fluid distribution under conformally flat condition in the presence of charge. We investigate the stability of these polytropes in the vicinity of a generalized polytropic equation through the Tolman mass. It is concluded that one of the derived models is physically acceptable.

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“…That is, metric and matter parts are at zeroth order perturbation only radially dependent, which also become time dependent for the first order perturbations. These perturbations are described as follows [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][30][31][32][33]:…”

Section: Linear Perturbation Strategy and Power-law F (T ) Modelmentioning

confidence: 99%

Dynamical instability of shear-free collapsing star in extended teleparallel gravity

Jawad

Rani

2015

Eur. Phys. J. C

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We study the spherically symmetric collapsing star in terms of dynamical instability. We take the framework of extended teleparallel gravity with a non-diagonal tetrad, a power-law form of the model presenting torsion and a matter distribution as a non-dissipative anisotropic fluid. The vanishing shear scalar condition is adopted to gain insight in a collapsing star. We apply a first order linear perturbation scheme to the metric, the matter, and f (T ) functions. The dynamical equations are formulated under this perturbation scheme to develop collapsing equation for finding dynamical instability limits in two regimes, such as the Newtonian and the post-Newtonian regime. We obtain a constraint-free solution of a perturbed time dependent part with the help of a vanishing shear scalar. The adiabatic index exhibits the instability ranges through the second dynamical equation which depend on physical quantities such as the density, the pressure components, the perturbed parts of the symmetry of the star, etc. We also develop some constraints on the positivity of these quantities and obtain instability ranges to satisfy the dynamical instability condition.

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Effects of electromagnetic field on the dynamical instability of cylindrical collapse

Cited by 51 publications

References 29 publications

Dissipative spherical collapse of charged anisotropic fluid in $$f(R)$$ f ( R ) gravity

Dissipative spherical collapse of charged anisotropic fluid in $$f(R)$$ f ( R ) gravity

Study of polytropes with generalized polytropic equation of state

Dynamical instability of shear-free collapsing star in extended teleparallel gravity

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