Gravitational collapse of cylindrical shells made of counterrotating dust particles

Pereira, Paulo R. C. T.; Wang, Anzhong

doi:10.1103/physrevd.62.124001

Cited by 36 publications

(3 citation statements)

References 24 publications

(31 reference statements)

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“…In more realistic situations, the spacetime has neither cylindrical symmetry nor zero angular momentum, and gravitational and particle radiations are always expected to occur. In particular, when radiation is taken into account, modeled by an outgoing radiation fluid [216], Pereira and Wang found [261] that similar results to a rotating spheroid obtained in [283] also hold for a collapsing cylindrical shell made of counterrotating dust particles: in some cases the angular momentum of the dust particles is strong enough to halt the collapse, so that a spacetime singularity is prevented from forming, while in other cases it is not, and a line-like spacetime singularity is finally formed on the symmetry axis.…”

Section: Gravitational Collapse and Emission Of Gravitational Wavesmentioning

confidence: 99%

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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Section: Gravitational Collapse and Emission Of Gravitational Wavesmentioning

confidence: 99%

Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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“…Nakao and Morisawa [14,15] introduced a an isotropic scheme and investigated cylindrical collapse for dust and perfect fluid, respectively. Cylindrical symmetric gravitational collapse of counter rotating dust shells can be found in the [16,17], axially symmetric vacuum solution [18], and cylindrical symmetric collapse in anisotropic in [7]. An axially symmetric null dust gravitational collapse has been discussed in [19].…”

Section: Introductionmentioning

confidence: 95%

High Speed Cylindrical Gravitational Collapse with Anisotropic Pressure

2018

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This paper focuses on the cylindrical symmetric gravitational collapse in the presence of anisotropic fluid. The high speed approximation scheme was used. In this perspective, the effect of anisotropy of pressure in fluid distribution on the collapsing process with the Equation of State (EoS) p t = λρ and p r = lρ, (l + 2λ < −1). The effect of pressure on collapse in radial and tangential direction was observed for all values of λ and l. It is determined that, for some values of constants, i.e., λ and l, collapse results in a Naked Singularity (NS) while, for some values of constants, it does not form NS or Black Hole (BH). This study presents the effect on the collapsing process for all values of λ and l.

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“…Nakao and Morisawa [36] studied the high-speed collapse of cylindrically symmetric thick shell composed of dust and perfect fluid with nonvanishing pressure [37]. Recent work describes the cylindrically symmetric collapse of counterrotating dust shells [38][39][40], self-similar scalar field [41], axially symmetric vacuum space-time [42], and a cylindrically symmetric anisotropic fluid space-time [43]. Some other examples of nonspherical gravitational collapse would be discussed in [44][45][46][47][48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine

Ahmed

2017

Advances in High Energy Physics

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We present a gravitational collapse null dust solution of the Einstein field equations. The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. The space-time admits closed timelike curves (CTCs) which develop at some particular moment in a causally well-behaved manner and may represent a Cosmic Time Machine. The radial geodesics near the singularity and the gravitational lensing (GL) will be discussed. The physical interpretation of this solution, based on the study of the equation of the geodesic deviation, will be presented. It was demonstrated that this solution depends on the local gravitational field consisting of two components with amplitudes Ψ 2 and Ψ 4 .

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Gravitational collapse of cylindrical shells made of counterrotating dust particles

Cited by 36 publications

References 24 publications

Cylindrical systems in general relativity

Cylindrical systems in general relativity

High Speed Cylindrical Gravitational Collapse with Anisotropic Pressure

Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine

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