Quantum gravitational collapse and Hawking radiation 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>dimensions

Vaz, Cenalo; Gutti, Sashideep; Kiefer, Claus; Singh, T. P.

doi:10.1103/physrevd.76.124021

Cited by 21 publications

(31 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results led to a numerical study of critical phenomena associated with the collapse process in [7] and were confirmed in studies of inhomogeneous dust collapse in [8]. Attempts at the quantization of dust collapse in [9,10] also had several lessons to teach. Our ultimate goal is to obtain a description of quantum gravitational collapse in 2+1 dimensions with rotation, for which a classical description was developed in [11].…”

Section: Introductionmentioning

confidence: 91%

Canonical Chern-Simons gravity

Sarkar

Vaz

2017

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We study the canonical description of the axisymmetric vacuum in 2+1 dimensional gravity, treating Einstein's gravity as a Chern Simons gauge theory on a manifold with the restriction that the dreibein is invertible. Our treatment is in the spirit of Kuchař's description of the Schwarzschild black hole in 3+1 dimensions, where the mass and angular momentum are expressed in terms of the canonical variables and a series of canonical transformations are performed that turn the curvature coordinates and their conjugate momenta into new canonical variables. In their final form, the constraints are seen to require that the momenta conjugate to the Killing time and curvature radius vanish and what remains are the mass, the angular momentum and their conjugate momenta, which we derive. The Wheeler-DeWitt equation is trivial and describes time independent systems with wave functions described only by the total mass and total angular momentum.

show abstract

Section: Introductionmentioning

confidence: 91%

Canonical Chern-Simons gravity

Sarkar

Vaz

2017

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…In LTB systems, once a consistent reduction has been found, it can be used for applications to black hole singularity issues. We focus on loop specific issues which do not arise in Wheeler-DeWitt type quantizations of [60,61,62] which have for instance been applied to Hawking radiation [67,68,64].…”

Section: Effects Of a Loop Quantizationmentioning

confidence: 99%

Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity

2008

View full text Add to dashboard Cite

Lemaitre-Tolman-Bondi models as specific spherically symmetric solutions of general relativity simplify in their reduced form some of the mathematical ingredients of black hole or cosmological applications. The conditions imposed in addition to spherical symmetry turn out to take a simple form at the kinematical level of loop quantum gravity, which allows a discussion of their implications at the quantum level. Moreover, the spherically symmetric setting of inhomogeneity illustrates several nontrivial properties of lattice refinements of discrete quantum gravity. Nevertheless, the situation at the dynamical level is quite non-trivial and thus provides insights to the anomaly problem. At an effective level, consistent versions of the dynamics are presented which implement the conditions together with the dynamical constraints of gravity in an anomaly-free manner. These are then used for analytical as well as numerical investigations of the fate of classical singularities, including non-spacelike ones, as they generically develop in these models. None of the corrections used here resolve those singularities by regular effective geometries. However, there are numerical indications that the collapse ends in a tamer shell-crossing singularity prior to the formation of central singularities for mass functions giving a regular conserved mass density. Moreover, we find quantum gravitational obstructions to the existence of exactly homogeneous solutions within this class of models. This indicates that homogeneous models must be seen in a wider context of inhomogeneous solutions and their reduction in order to provide reliable dynamical conclusions.

show abstract

“…This paper is organized as follows. In section II we review the canonical quantization of the BTZ black hole and its statistical thermodynamics in the canonical ensemble, as given in [21]. We then go outside the thermodynamic limit in section III, treating the black hole as a system of finite size.…”

Section: Introductionmentioning

confidence: 99%

Bose condensation and the BTZ black hole

Vaz

Wijewardhana

2010

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

Although all popular approaches to quantum gravity are able to recover the BekensteinHawking entropy-area law in the thermodynamic limit, there are significant differences in their descriptions of the microstates and in the application of statistics. Therefore they can have significantly different phenomenological implications. For example, requiring indistinguishability of the elementary degrees of freedom should lead to changes in the black hole's radiative porperties away from the thermodynamic limit and at low temperatures. We demonstrate this for the Bañados-Teitelboim-Zanelli (BTZ) black hole. The energy eigenstates and statistical entropy in the thermodynamic limit of the BTZ black hole were obtained earlier by us via symmetry reduced canonical quantum gravity. In that model the BTZ black hole behaves as a system of Bosonic mass shells moving in a one dimensional harmonic trap. Bose condensation does not occur in the thermodynamic limit but this system possesses a finite critical temperature, T c , and exhibits a large condensate fraction below T c when the number of shells is finite.

show abstract

Quantum gravitational collapse and Hawking radiation in2+1dimensions

Cited by 21 publications

References 34 publications

Canonical Chern-Simons gravity

Canonical Chern-Simons gravity

Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity

Bose condensation and the BTZ black hole

Contact Info

Product

Resources

About