Loop quantization of the Schwarzschild interior revisited

Abstract

The loop quantization of the Schwarzschild interior region, as described by a homogeneous anisotropic Kantowski-Sachs model, is re-examined. As several studies of different -inequivalent- loop quantizations have shown, to date there exists no fully satisfactory quantum theory for this model. This fact poses challenges to the validity of some scenarios to address the black hole information problem. Here we put forward a novel viewpoint to construct the quantum theory that builds from some of the models available in the literature. The final picture is a quantum theory that is both independent of any auxiliary structure and possesses a correct low curvature limit. It represents a subtle but non-trivial modification of the original prescription given by Ashtekar and Bojowald. It is shown that the quantum gravitational constraint is well defined past the singularity and that its effective dynamics possesses a bounce into an expanding regime. The classical singularity is avoided, and a semiclassical spacetime satisfying vacuum Einstein's equations is recovered on the "other side" of the bounce. We argue that such metric represents the interior region of a white-hole spacetime, but for which the corresponding "white-hole mass" differs from the original black hole mass. Furthermore, we find that the value of the white-hole mass is proportional to the third power of the starting black hole mass.

Revised version. Comparison with Ashtekar-Bojowald quantization expanded. A figure showing dependence of the white hole mass on the fiducial cell in Ashtekar-Bojowald quantization added. To appear in CQG

References in corpus (15)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Black hole evaporation: A paradigm
• Loop Quantum Dynamics of the Schwarzschild Interior
• Loop quantization of the Schwarzschild black hole
• Is loop quantization in cosmology unique?
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Evaporation of 2-Dimensional Black Holes
• Emergence of product of constant curvature spaces in loop quantum cosmology
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• Quantum Gowdy $T^3$ model: A unitary description
• Numerical loop quantum cosmology: an overview

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