Exact relativistic cylindrical solution of disordered radiation

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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“…This solution coincides with the one presented in [64,77,300]. The fluid energy density ρ is finite on the regular axis and vanishes as y → +∞.…”

Section: Disordered Radiation W = 1/3supporting

confidence: 85%

Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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“…We have reduced the initial system to Eqs. (5,(11)(12)(13)(14), all but one being of first order. In a realistic solution U, K and H should approach constants when r → 0.…”

Section: Field Equations and Regularity Conditionsmentioning

confidence: 99%

On rigidly rotating perfect fluid cylinders

Иванов¹

2002

Class. Quantum Grav.

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“…Although the Levi-Civita exterior metric was derived in 1919, the interior field equations were not investigated until 1958 when Marder (1958) obtained a solution representing an isotropic perfect fluid. Other solutions representing clusters of rotating particles have been given (Raychaudhuri and Som 1962;Teixeira and Som 1974;Lathrop and Orsene 1980;Da Silva et al 1995). The problem for static perfect fluid interior, was first solved in 1977 by Evans (1977) and quite a few number of solutions, some of them overlapping, have been published since then (Teixeira et al 1977; R.M.…”

Section: Introductionmentioning

confidence: 97%

“…Other solutions representing clusters of rotating particles have been given (Raychaudhuri and Som 1962;Teixeira and Som 1974;Lathrop and Orsene 1980;Da Silva et al 1995). The problem for static perfect fluid interior, was first solved in 1977 by Evans (1977) and quite a few number of solutions, some of them overlapping, have been published since then (Teixeira et al 1977; R.M. Ali ( ) Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt e-mail: rmma1955@yahoo.com Bronnikov 1979;Davidson 1989aDavidson , 1989bDavidson , 1990.…”

Section: Introductionmentioning

confidence: 97%

Perfect-fluid sources for the Levi-Civita metric

Ali

2007

Astrophys Space Sci

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Cylindrically symmetric perfect fluid solutions are derived for the Levi-Civita metric. The pressure P is finite. The matter density is greater than the stresses in the material. The solutions are inside cylinders of bounded radius at which the pressure vanishes. The range of σ , for which the sources have been matched to the Levi-Civeta metric is ∞ > σ > 0. The solutions are regular and satisfy energy conditions Keywords Relativity · Matching of solutions · Perfect fluid · Static fields

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Exact relativistic cylindrical solution of disordered radiation

Cited by 25 publications

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Cylindrical systems in general relativity

Cylindrical systems in general relativity

On rigidly rotating perfect fluid cylinders

Perfect-fluid sources for the Levi-Civita metric

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