Gravitational Collapse of a Rotating Cylindrical Null Shell in the Cosmic String Spacetime

Khakshournia, S.

doi:10.1142/s2010194511000948

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…This result is consistent with the one in [50]. Since we have p = 0 and J ̸ = 0, the induced energy-momentum tensor t µν on the null shell is of the Hawking-Ellis type III and violates all the standard energy conditions by proposition 2.…”

Section: Cylindrically Symmetric Rotating Null Shellsupporting

confidence: 89%

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Energy conditions for non-timelike thin shells

Maeda

2023

Class. Quantum Grav.

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We study energy conditions for non-timelike thin shells in arbitrary $n(\ge 3)$ dimensions.It is shown that the induced energy-momentum tensor $t_{\mu\nu}$ on a shell $\Sigma$ is of the Hawking-Ellis type I if $\Sigma$ is spacelike and either of type I, II, or III if $\Sigma$ is null.Then, we derive simple equivalent representations of the standard energy conditions for $t_{\mu\nu}$.In particular, on a spacelike shell or on a null shell with non-vanishing surface current, $t_{\mu\nu}$ inevitably violates the dominant energy condition.If the surface pressure on the null shell is vanishing in addition, $t_{\mu\nu}$ is of type III and violates all the standard energy conditions.Those fully general results are obtained without imposing a spacetime symmetry and can be used in any theory of gravity.Lastly, several applications of the main results are presented in general relativity in four dimensions.

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Section: Cylindrically Symmetric Rotating Null Shellsupporting

confidence: 89%

“…The dynamics of a thin-shell Σ as a matching hypersurface between M − and M + has been investigated for timelike Σ in [49] and for null Σ in [50]. Here we follow the argument in [50] in more detail.…”

Section: Cylindrically Symmetric Rotating Null Shellmentioning

confidence: 99%

Energy conditions for non-timelike thin shells

Maeda

2023

Class. Quantum Grav.

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“…The studies of gravitational collapse with cylindrical symmetry have been generalized to various cases, including the collapse of cylindrical shells with or without finite thickness [129,135,172,187,200,201,217,244,260,287], and matter fields filled the whole collapsing spacetimes [61, 94-96, 150, 179, 212, 228, 243, 245-247, 250, 280, 284-286, 288, 332]. In particular, the general matching conditions of two arbitrary ER spacetimes with a thin shell were given in [260], and without a thin shell in [129].…”

Section: A the Hoop Conjecture And Critical Collapsementioning

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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Gravitational Collapse of a Rotating Cylindrical Null Shell in the Cosmic String Spacetime

Cited by 2 publications

References 9 publications

Energy conditions for non-timelike thin shells

Energy conditions for non-timelike thin shells

Cylindrical systems in general relativity

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