Particle creation in (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>) circular dust collapse

Gutti, Sashideep; Singh, Tejinder P.

doi:10.1103/physrevd.76.064026

Cited by 8 publications

(9 citation statements)

References 42 publications

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“…The formation of a naked singularity is of great importance in association with the AdS/CFT correspondence [13,17,18] since one might ask whether or not the quantum correlation function at the AdS boundary is properly defined in the presence of a bulk singularity. This in turn raises additional issues associated with the collapse to a naked singularity, particularly the proper inclusion of quantum (gravity) effects in the bulk [19].…”

Section: Introductionmentioning

confidence: 99%

Role of angular momentum and cosmic censorship in(2+1)-dimensional rotating shell collapse

Mann

Park

2009

Phys. Rev. D

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We study the gravitational collapse problem of rotating shells in three-dimensional Einstein gravity with and without a cosmological constant. Taking the exterior and interior metrics to be those of stationary metrics with asymptotically constant curvature, we solve the equations of motion for the shells from the Darmois-Israel junction conditions in the co-rotating frame. We study various collapse scenarios with arbitrary angular momentum for a variety of geometric configurations, including anti-de Sitter, de Sitter, and flat spaces. We find that the collapsing shells can form a BTZ black hole, a three-dimensional Kerr-dS spacetime, and an horizonless geometry of point masses under certain initial conditions. For pressureless dust shells, the curvature singularity is not formed due to the angular momentum barrier near the origin. However when the shell pressure is nonvanishing, we find that for all types of shells with polytropic-type equations of state (including the perfect fluid and the generalized Chaplygin gas), collapse to a naked singularity is possible under generic initial conditions. We conclude that in three dimensions angular momentum does not in general guard against violation of cosmic censorship.

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Section: Introductionmentioning

confidence: 99%

Role of angular momentum and cosmic censorship in(2+1)-dimensional rotating shell collapse

Mann

Park

2009

Phys. Rev. D

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“…It is worthwhile comparing our derivation of Hawking radiation with the corresponding calculation in the four-dimensional LTB case [16], and also with the semiclassical 2+1-d derivation of Hawking radiation [19]. There are significant differences in the gravitational collapse between the 2+1-dimensional and the 3+1-dimensional case on the classical level.…”

Section: Discussionmentioning

confidence: 99%

“…In [19], Hawking radiation is obtained semiclassically by considering the quantization of scalar field modes in the background of a BTZ spacetime. The modes are shown to have the asymptotic form which resembles the standard plane wave form with a decay factor.…”

Section: Discussionmentioning

confidence: 99%

“…We feel it is desirable to first adapt our program to the lower dimensional 2+1-dimensional case, where dust collapse has been examined in detail on the classical [17,18] and the semi-classical level [19] by two of us. Moreover, the BTZ black hole [20,21], which is the unique classical end state of the collapse, is reasonably well understood on the quantum level from the point of view of the AdS/CFT correspondence [22,23].…”

Section: Introductionmentioning

confidence: 99%

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Quantum gravitational collapse and Hawking radiation in2+1dimensions

et al. 2007

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We develop the canonical theory of gravitational collapse in 2+1 dimensions with a negative cosmological constant and obtain exact solutions of the Wheeler-DeWitt equation regularized on a lattice. We employ these solutions to derive the Hawking radiation from black holes formed in all models of dust collapse. We obtain an (approximate) Planck spectrum near the horizon characterized by the Hawking temperature T H = √ GΛM/2π, where M is the mass of a black hole that is presumed to form at the center of the collapsing matter cloud and −Λ is the cosmological constant. Our solutions to the Wheeler-DeWitt equation are exact, so we are able to reliably compute the greybody factors that result from going beyond the near horizon region.

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“…In Section II we briefly describe the models and their quantization, focusing only upon those aspects that are immediately related to our present purpose. For details on the classical solutions we refer the reader to [33,34], for a semiclassical study of the Hawking radiation to [35], and for more on the canonical quantization of these models we suggest [32], from where most of Section II is taken. In Section III we focus on the BTZ black hole, which is a special case of the models described in section I.…”

Section: Introductionmentioning

confidence: 99%

Mass spectrum and statistical entropy of the BTZ black hole from canonical quantum gravity

et al. 2008

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In a recent publication we developed a canonical quantization program describing the gravitational collapse of a spherical dust cloud in 2+1 dimensions with a negative cosmological constant −Λ ≡ −l −2 < 0. In this paper we address the quantization of the Banados-Teitelboim-Zanelli (BTZ) black hole. We show that the mass function describing the black hole is made of two pieces, a constant non-vanishing boundary contribution and a discrete spectrum of the form µ n = l n + 1 2 . The discrete spectrum is obtained by applying the Wheeler-DeWitt equation with a particular choice of factor ordering and interpreted as giving the energy levels of the collapsed matter shells that form the black hole. Treating a black hole microstate as a particular distribution of shells among the levels, we determine the canonical entropy of the BTZ black hole. Comparison with the Bekenstein-Hawking entropy shows that the boundary energy is related to the central charge of the Virasoro algebra that generates the asymptotic symmetry group of the three-dimensional anti-de Sitter space AdS 3 . This gives a connection between the Wheeler-DeWitt approach and the conformal field theory approach.

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Particle creation in (2+1) circular dust collapse

Cited by 8 publications

References 42 publications

Role of angular momentum and cosmic censorship in(2+1)-dimensional rotating shell collapse

Role of angular momentum and cosmic censorship in(2+1)-dimensional rotating shell collapse

Quantum gravitational collapse and Hawking radiation in2+1dimensions

Mass spectrum and statistical entropy of the BTZ black hole from canonical quantum gravity

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