A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

Chakraborty, Suddhasatwa; Chakraborty, Subenoy

doi:10.1155/2017/8786791

Cited by 5 publications

(2 citation statements)

References 39 publications

(60 reference statements)

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“…where E = Q(r) 2πR and Q(r) = 4π r 0 ζBRdr. The gravitational energy per specific length (also, known as C-energy) for cylindrical symmetric spacetime is given as follows [41,42]…”

Section: Viscous Dissipative Fluid Enclosed By Cylindrical Stellar Ob...mentioning

confidence: 99%

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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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“…where E = Q(r) 2πR and Q(r) = 4π r 0 ζBRdr. The gravitational energy per specific length (also, known as C-energy) for cylindrical symmetric spacetime is given as follows [41,42]…”

Section: Viscous Dissipative Fluid Enclosed By Cylindrical Stellar Ob...mentioning

confidence: 99%

“…For cylindrically symmetric model with killing vectors, the circumference radius ρ and specific length l and areal radius r are defined as follows [41,42]…”

Section: Viscous Dissipative Fluid Enclosed By Cylindrical Stellar Ob...mentioning

confidence: 99%

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Shah

Abbas

2017

Eur. Phys. J. A

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Analysis of a charged unidirectional perfect fluid gravitational collapse in cylindrical spacetime

Sheikh

Mahmood

Arshad

2021

Chinese Journal of Physics

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Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the general properties, both local and global, of several important solutions of Einstein's field equations, including the Levi-Civita and Lewis solutions and their extensions to include the cosmological constant and matter fields, and pay particular attention to properties that represent the generic features of the theory, such as the formation of the observed extragalactic jets and gravitational Faraday rotation. We also review studies of cylindrical wormholes, gravitational collapse and Hoop conjecture, and polarizations of gravitational waves. In addition, by rigorously defining cylindrically symmetric spacetimes, we clarify various (incorrect) claims existing in the literature, regarding to the generality of such spacetimes.

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A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

Cited by 5 publications

References 39 publications

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Dynamics of charged viscous dissipative cylindrical collapse with full causal approach

Analysis of a charged unidirectional perfect fluid gravitational collapse in cylindrical spacetime

Cylindrical systems in general relativity

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