Trapped Surfaces in Spherical Stars

Bizoń, Piotr; Malec, Edward; O'Murchadha, Niall

doi:10.1103/physrevlett.61.1147

Cited by 71 publications

(90 citation statements)

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“…This is related to the hoop conjecture [2] (see also [3][4][5]). The trapped surface conjecture has been proved in spherical symmetry [6][7][8] and also for a relevant class of nonspherical initial data [9]. The general case remains open but it is expected that some version of this conjecture should hold.…”

mentioning

confidence: 98%

Inequality between Size and Angular Momentum for Bodies

Dain

2014

Phys. Rev. Lett.

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mentioning

confidence: 98%

Inequality between Size and Angular Momentum for Bodies

Dain

2014

Phys. Rev. Lett.

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“…As we will only be concerned with S-wave (spherical) scatterings, at a fixed time one may then choose coordinates such that they define the following (instantaneous) three-dimensional metric [16] …”

Section: Non-existence Of Sub-planckian Distances In Einstein Gramentioning

confidence: 99%

Physics of trans-Planckian gravity

2011

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We study the field theoretical description of a generic theory of gravity flowing to Einstein General Relativity in IR. We prove that, if ghost-free, in the weakly coupled regime such a theory can never become weaker than General Relativity. Using this fact, as a byproduct, we suggest that in a ghost-free theory of gravity trans-Planckian propagating quantum degrees of freedom cannot exist. The only physical meaning of a trans-Planckian pole is the one of a classical state (Black Hole) which is described by the light IR quantum degrees of freedom and gives exponentially-suppressed contributions to virtual processes. In this picture Einstein gravity is UV self-complete, although not Wilsonian, and sub-Planckian distances are unobservable in any healthy theory of gravity. We then finally show that this UV/IR correspondence puts a severe constraint on any attempt of conventional Wilsonian UV-completion of trans-Planckian gravity. Specifically, there is no well-defined energy domain in which gravity could become asymptotically weak or safe.

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“…It has been well established in the spherically symmetric case ( [12], [15] - [18]) in spacetimes sliced with the use of "reasonable" gauge conditions, like maximal, constant mean curvature, flat or polar slicings. The results concerning nonspherical situations remain patchy ( [19] - [21] and references therein) and apply mostly to moment of time symmetry initial data.…”

Section: Discussionmentioning

confidence: 99%

The Jang equation, apparent horizons and the Penrose inequality

Murchadha¹

2004

Class. Quantum Grav.

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The Jang equation in the spherically symmetric case reduces to a first order equation. This permits an easy analysis of the role apparent horizons play in the (non)existence of solutions. We demonstrate that the proposed derivation of the Penrose inequality based on the Jang equation cannot work in the spherically symmetric case. Thus it is fruitless to apply this method, as it stands, to the general case. We show also that those analytic criteria for the formation of horizons that are based on the use of the Jang equation are of limited validity for the proof of the trapped surface conjecture.

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Trapped Surfaces in Spherical Stars

Abstract: Type of publicationArticle (peer-reviewed)Link to publisher's version https://journals.aps.org/prl/abstract

Cited by 71 publications

References 5 publications

Inequality between Size and Angular Momentum for Bodies

Inequality between Size and Angular Momentum for Bodies

Physics of trans-Planckian gravity

The Jang equation, apparent horizons and the Penrose inequality

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