Radiating gravitational collapse with shear viscosity

Chan, R.

doi:10.1046/j.1365-8711.2000.03547.x

Cited by 120 publications

(52 citation statements)

References 20 publications

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“…The dissipative factors enhance the instability range in the Newtonian limits but develop more stability in relativistic ranges. The impressions of radiation, anisotropy, and shearing viscosity at Newtonian and post-Newtonian eras are inquired in [5][6][7][8]. Various prospects of the collapse phenomenon to account for dark source have been worked out in the recent past [9][10][11][12][13][14].…”

Section: Introductionmentioning

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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Section: Introductionmentioning

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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“…An enormous amount of contributions in the research of gravitational collapse have been added by Vaidya [5], who provided the exterior gravitational field of a stellar body senda e-mail: syedmunawarshah71@hotmail.com b e-mail: ghulamabbas@iub.edu.pk ing out radiations. Misner and Sharp [6,7] studied a perfect fluid spherically symmetric collapse and also some authors [8][9][10][11][12][13][14][15][16][17][18][19][20] considered it in different situations.…”

Section: Introductionmentioning

confidence: 99%

“…Since then, a huge amount of literature [8][9][10][11][12][13][14][15][16][17][18][19][20] on gravitational collapse considered the spherical symmetry of the star, which is the simplest geometry. In order to determine a realistic model of gravitational collapse, it would be interesting to study the dynamics of a collapsing star with a nonspherical background.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

Shah

Abbas

2017

Eur. Phys. J. C

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In this paper, we have explored the effects of dissipation on the dynamics of charged bulk viscous collapsing cylindrical source which allows the out-flow of heat flux in the form of radiations. The Misner-Sharp formalism has been implemented to drive the dynamical equation in terms of proper time and radial derivatives. We have investigated the effects of charge and bulk viscosity on the dynamics of collapsing cylinder. To determine the effects of radial heat flux, we have formulated the heat transport equations in the context of Müller-Israel-Stewart theory by assuming that thermodynamics viscous/heat coupling coefficients can be neglected within some approximations. In our discussion, we have introduced the viscosity by the standard (non-causal) thermodynamics approach. The dynamical equations have been coupled with the heat transport equation; the consequences of the resulting coupled heat equation have been analyzed in detail.

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“…Herrera et al [11][12][13][14][15][16][17] contributed substantially in addressing the instability problem in GR, accompanying various situations, i.e., isotropy, anisotropy, the shear-free condition, radiation, dissipation, the expansion-free condition, and shearing expansion-free fluids. In order to achieve a more precise and generic description of the universe, the dark energy components are incorporated by introducing modified theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

Shear-free condition and dynamical instability in f(R, T) gravity

et al. 2015

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The implications of the shear-free condition on the instability range of an anisotropic fluid in f (R, T ) are studied in this manuscript. A viable f (R, T ) model is chosen to arrive at stability criterion, where R is Ricci scalar and T is the trace of energy-momentum tensor. The evolution of a spherical star is explored by employing a perturbation scheme on the modified field equations and contracted Bianchi identities in f (R, T ). The effect of the imposed shear-free condition on the collapse equation and adiabatic index is studied in the Newtonian and post-Newtonian regimes.

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Radiating gravitational collapse with shear viscosity

Cited by 120 publications

References 20 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

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

Shear-free condition and dynamical instability in f(R, T) gravity

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