New variables for 1+1 dimensional gravity

Abstract

We show that the canonical formulation of a generic action for 1+1-dimensional models of gravity coupled to matter admits a description in terms of Ashtekar-type variables. This includes the CGHS model and spherically symmetric reductions of 3+1 gravity as particular cases. This opens the possibility of discussing models of black hole evaporation using loop representation techniques and verifying which paradigm emerges for the possible elimination of the black hole singularity and the issue of information loss.

8 pages, no figures, added references, corrected some misleading statements

References in corpus (4)

• Black hole evaporation: A paradigm
• Loop quantization of spherically symmetric midi-superspaces
• Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case
• Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity

Cited by in corpus (14)

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• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Signature change in 2-dimensional black-hole models of loop quantum gravity
• Deformed algebra and the effective dynamics of the interior of black holes
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Effective dynamics of the Schwarzschild black hole interior with inverse triad corrections
• Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution
• Black hole interior quantization: a minimal uncertainty approach
• Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model
• A generalized uncertainty-inspired quantum black hole
• Schrödinger-like quantum dynamics in loop quantized black holes
• Comment on "New variables for 1+1 dimensional gravity"
• A rotating GUP black hole: metric, shadow, and bounds on quantum parameters
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP