Charged cylindrical collapse of anisotropic fluid

Sharif, M.; Fatima, Sundas

doi:10.1007/s10714-010-1076-3

Cited by 51 publications

(27 citation statements)

References 28 publications

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“…These results have been verified analytically by Nakao and Morisawa [42]. During the recent years, many attempts [43][44][45] have been made to study the dynamics of collapsing cylindrical sources, but all these involve cylindrical spacetimes which are very similar to spherical spacetimes. In the current study, we have taken the nontrivial cylindrical spacetime.…”

Section: Introductionmentioning

confidence: 73%

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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Section: Introductionmentioning

confidence: 73%

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

Shah

Abbas

2017

Eur. Phys. J. C

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“…Thus (35) gives the total mass inside the boundary surface Σ, while (36) shows the linear relationship between the energy for the cylindrically symmetric space-time with the bounding mass over Σ. Further, (37) shows a linear relationship among the fluid parameters ( , , ) on the bounding surface Σ.…”

Section: Junction Conditionsmentioning

confidence: 99%

A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

Chakraborty¹,

Chakraborty

2017

Advances in High Energy Physics

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The present works deals with gravitational collapse of cylindrical viscous heat conducting anisotropic fluid following the work of Misner and Sharp. Using Darmois matching conditions, the dynamical equations are derived and the effects of charge and dissipative quantities over the cylindrical collapse are analyzed. Finally, using the Miller-Israel-Steward causal thermodynamic theory, the transport equation for heat flux is derived and its influence on collapsing system has been studied.

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“…Recently, Sharif and his collaborators [36]- [38] attempted to discuss the dynamics of collapsing cylindrically source. They considered cylindrical spacetimes which resembling to spherical spacetime.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Shah

Abbas

2017

Eur. Phys. J. A

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The aim of this paper is to investigate the dynamical aspects of charged viscous cylindrical source by using Misner approach. To this end, we have considered the more general charged dissipative fluid enclosed by the cylindrical symmetric spacetime. The dissipative nature of the source is due to the presence of dissipative variables in the stressenergy tensor. The dynamical equations resulting from such charged cylindrical dissipative source have been coupled with the causal transport equations for heat flux, shear and bulk viscosity, in the context of Israel-Steward theory. In this case, we have the considered the IsraelSteward transportation equations without excluding the thermodynamics viscous/heat coupling coefficients. The results are compared with the previous works in which such coefficients were excluded and viscosity variables do not satisfy the casual transportation equations.

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Charged cylindrical collapse of anisotropic fluid

Cited by 51 publications

References 28 publications

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

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