Spherically symmetric loop quantum gravity: analysis of improved dynamics

Abstract

We study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the homogeneous space-times. In this dynamics the polymerization parameter is a well motivated function of the dynamical variables, reflecting the fact that the quantum of area depends on them. Contrary to the homogeneous case, its implementation does not trigger undesirable physical properties. We identify semiclassical physical states in the quantum theory and derive the corresponding effective semiclassical metrics. We then discuss some of their properties. Concretely, the space-time approaches sufficiently fast the Schwarzschild geometry at low curvatures. Besides, regions where the singularity is in the classical theory get replaced by a regular but discrete effective geometry with finite and Planck order curvature, regardless of the mass of the black hole. This circumvents trans-Planckian curvatures that appeared for astrophysical black holes in the quantization scheme without the improvement. It makes the resolution of the singularity more in line with the one observed in models that use the isometry of the interior of a Schwarzschild black hole with the Kantowski--Sachs loop quantum cosmologies. One can observe the emergence of effective violations of the null energy condition in the interior of the black hole as part of the mechanism of the elimination of the singularity.

26 pages, 8 figures

References in corpus (15)

• Quantum Nature of the Big Bang: Improved dynamics
• Loop Quantum Dynamics of the Schwarzschild Interior
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Properties of a recent quantum extension of the Kruskal geometry
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
• Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Wave functions for the Schwarschild black hole interior
• Hybrid Models in Loop Quantum Cosmology
• Quantum space-time of a charged black hole
• Brief review on black hole loop quantization
• Loop quantization of the Gowdy model with local rotational symmetry
• Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution

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