Trapped surfaces in the Schwarzschild geometry and cosmic censorship

Wald, Robert M.; Iyer, Vivek

doi:10.1103/physrevd.44.r3719

Cited by 136 publications

(153 citation statements)

References 4 publications

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“…It is however important to note that the statement relies on the existence of a sensible foliation of the spacetime by Cauchy slices. Indeed, it is possible as discussed in [43] to find exotic symmetry breaking foliations (which are however incomplete) in which even the Schwarzschild black hole solutions fails to have a trapped surface. We mention this in passing, as [20] quotes the result of [43] to argue that apparent horizon areas need not be monotone generically.…”

Section: Bulk Solutionsmentioning

confidence: 99%

“…Indeed, it is possible as discussed in [43] to find exotic symmetry breaking foliations (which are however incomplete) in which even the Schwarzschild black hole solutions fails to have a trapped surface. We mention this in passing, as [20] quotes the result of [43] to argue that apparent horizon areas need not be monotone generically. They however do not encounter such behaviour, for with the choice of ingoing coordinates in (2.6), there is a canonical choice of bulk Cauchy slices respecting the homogeneity of the disturbance.…”

Section: Bulk Solutionsmentioning

confidence: 99%

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Driven holographic CFTs

Rangamani

Rozali

Wong

2015

J. High Energ. Phys.

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Abstract:We study the dynamical evolution of strongly coupled field theories, initially in thermal equilibrium, under the influence of an external driving force. We model the field theory holographically using classical gravitational dynamics in an asymptotically AdS spacetime. The system is driven by a source for a (composite) scalar operator. We focus on a scenario where the external source is periodic in time and chart out the response of several observables. We find an interesting phase structure in the response as a function of the amplitude of the source and driving frequency. Specifically the system transitions from a dissipation dominated phase, via a dynamical crossover to a highly resonant amplification phase. The diagnostics of these phases include the response of the operator in question, entropy production, energy fluctuations, and the temporal change of entanglement entropy for small subsystems. We comment on evidence for a potential phase transition in the energy fluctuations of the system.

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Section: Bulk Solutionsmentioning

confidence: 99%

Section: Bulk Solutionsmentioning

confidence: 99%

Driven holographic CFTs

Rangamani

Rozali

Wong

2015

J. High Energ. Phys.

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“…For instance, it was suggested in [6] that the absence of an apparent horizon up until the time of singularity formation indicates the singularity is naked. However, it was pointed out in [7] and [8] that although one may not detect the apparent horizon at the time of singularity formation, in a particular space-time slicing, a trapped surface may nonetheless exist. This argument of [7] and [8], however, is not applicable to our criterion above, because we are using the area radius R itself as one of the coordinates.…”

mentioning

confidence: 99%

“…However, it was pointed out in [7] and [8] that although one may not detect the apparent horizon at the time of singularity formation, in a particular space-time slicing, a trapped surface may nonetheless exist. This argument of [7] and [8], however, is not applicable to our criterion above, because we are using the area radius R itself as one of the coordinates. Hence the result 2m/R < 1 is independent of the slicing and indicates the absence of a trapped surface.…”

mentioning

confidence: 99%

Cosmic censorship and the role of pressure in gravitational collapse

Cooperstock

Jhingan

Joshi

et al. 1997

Class. Quantum Grav.

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Assuming the weak energy condition, we study the nature of the non-central shell-focussing singularity which can form in the gravitational collapse of a spherical compact object in classical general relativity. We show that if the radial pressure is positive, the singularity is covered by a horizon. For negative radial pressures, the singularity will be covered if the ratio of pressure to the density is greater than −1/3 and naked if this ratio is ≤ −1/3.

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“…The apparent horizon is slicing dependent and may not necessarily exist even though an event horizon does. An example of this is given by Wald and Iyer [3] through nonspherically-symmetric slicings for the Schwarzschild spacetime. Provided a nonpathological slicing is chosen the apparent horizon or any trapped surface within it may be used for excising the black hole singularity.…”

Section: Introductionmentioning

confidence: 99%

Locating boosted Kerr and Schwarzschild apparent horizons

Huq

Choptuik

Matzner³

2002

Phys. Rev. D

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We describe a finite-difference method for locating apparent horizons and illustrate its capabilities on boosted Kerr and Schwarzschild black holes. Our model spacetime is given by the Kerr-Schild metric. We apply a Lorentz boost to this spacetime metric and then carry out a 3+1 decomposition. The result is a slicing of Kerr/Schwarzschild in which the black hole is propagated and Lorentz contracted. We show that our method can locate distorted apparent horizons efficiently and accurately.

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Trapped surfaces in the Schwarzschild geometry and cosmic censorship

Cited by 136 publications

References 4 publications

Driven holographic CFTs

Driven holographic CFTs

Cosmic censorship and the role of pressure in gravitational collapse

Locating boosted Kerr and Schwarzschild apparent horizons

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