Loop quantization of the Schwarzschild interior revisited

By Alejandro Corichi, Parampreet Singh. 2015

177 citations recorded by the source corpus.

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 a 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/10b352f675bd4c8d1163d9d77b9b55aa03eb9fbb

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Citations in the corpus

From black holes to white holes: a quantum gravitational, symmetric bounce (2017, unknown): “Despite this difference both quantizations yield expected Planck scale effects near the central singularity with expansion and shear scalars bounded [11, 22, 23], a feature shared with other spacetimes in LQC [24–27].”
Phenomenological aspects of black holes beyond general relativity (2018, background): “[36] Alejandro Corichi and Parampreet Singh, “Loop quantization of the Schwarzschild interior revisited,” Class.”