No-Go theorem in spacetimes with two commuting spacelike killing vectors

Wang, Anzhong

doi:10.1007/s10714-005-0166-0

Cited by 23 publications

(21 citation statements)

References 40 publications

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“…This is a black hole solution with plane symmetry and vanishing electromagnetic charge first found in [86], and then studied in detail in [332]. It should be noted that this does not contradict the theorem given in [319], as now we have Λ < 0.…”

supporting

confidence: 67%

“…In most of these studies, the spacetimes are described by the KJEK metric (1.2). Then, the no-go theorem regarding the existence of black holes in cylindrical spacetimes is applicable [319]. However, the naked singularities formed in cylindrical collapse may not be considered as counterexamples of the cosmic censorship conjecture (CCC) [257], as one can always argue that such spacetimes are not realistic, while the CCC is often referred to collapse of realistic matter [198].…”

Section: A the Hoop Conjecture And Critical Collapsementioning

confidence: 99%

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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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supporting

confidence: 67%

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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“…However, in the IR the high-order terms of p are negligible, and the first term in eq. (1.3) becomes dominant, so one may still define black holes, following what was done in GR [72][73][74][75][76][77][78][79][80]. Therefore, in this paper we shall consider the HL gravity in the IR limit.…”

Section: Jhep04(2014)056mentioning

confidence: 99%

Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

Shu

Lin

Wang

et al. 2014

J. High Energ. Phys.

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Abstract:In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with very rich structures: they can represent generalized BTZ black holes, Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions. We also find several classes of exact static non-diagonal solutions, which represent similar space-time structures as those given in the diagonal case. The relevance of these solutions to the non-relativistic Lifshitz-type gauge/gravity duality is discussed.

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“…For the dynamical solutions with planar topology describing gravitational collapse, a sufficient condition is the apparent horizon should be future outer at late advanced times [29]. We shall first give a general discussion on this topic.…”

Section: The Apparent Horizonmentioning

confidence: 99%

Global structure of exact scalar hairy dynamical black holes

Fan

Chen

Lü

2016

J. High Energ. Phys.

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We study the global structure of some exact scalar hairy dynamical black holes which were constructed in Einstein gravity either minimally or non-minimally coupled to a scalar field. We find that both the apparent horizon and the local event horizon (measured in luminosity coordinate) monotonically increase with the advanced time as well as the Vaidya mass. At late advanced times, the apparent horizon approaches the event horizon and gradually becomes future outer. Correspondingly, the space-time arrives at stationary black hole states with the relaxation time inversely proportional to the 1/(n−1) power of the final black hole mass, where n is the space-time dimension. These results strongly support the solutions describing the formation of black holes with scalar hair. We also obtain new charged dynamical solutions in the non-minimal theory by introducing an Maxwell field which is non-minimally coupled to the scalar. The presence of the electric charge strongly modifies the dynamical evolution of the space-time.

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No-Go theorem in spacetimes with two commuting spacelike killing vectors

Abstract: Four-dimensional Riemannian spacetimes with two commuting spacelike Killing vectors are studied in Einstein's theory of gravity, and found that no outer apparent horizons exist, provided that the dominant energy condition holds.

Cited by 23 publications

References 40 publications

Cylindrical systems in general relativity

Cylindrical systems in general relativity

Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

Global structure of exact scalar hairy dynamical black holes

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