From black holes to white holes: a quantum gravitational, symmetric bounce

Abstract

Recently a consistent non-perturbative quantization of the Schwarzschild interior resulting in a bounce from black hole to white hole geometry has been obtained by loop quantizing the Kantowski-Sachs vacuum spacetime. As in other spacetimes where the singularity is dominated by the Weyl part of the spacetime curvature, the structure of the singularity is highly anisotropic in the Kantowski-Sachs vacuum spacetime. As a result the bounce turns out to be in general asymmetric creating a large mass difference between the parent black hole and the child white hole. In this manuscript, we investigate under what circumstances a symmetric bounce scenario can be constructed in the above quantization. Using the setting of Dirac observables and geometric clocks we obtain a symmetric bounce condition which can be satisfied by a slight modification in the construction of loops over which holonomies are considered in the quantization procedure. These modifications can be viewed as quantization ambiguities, and are demonstrated in three different flavors which all lead to a non-singular black to white hole transition with identical masses. Our results show that quantization ambiguities can mitigate or even qualitatively change some key features of physics of singularity resolution. Further, these results are potentially helpful in motivating and constructing symmetric black to white hole transition scenarios.

23 pages, 11 figs, Penrose-Carter diagram and references 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
• Loop Quantum Dynamics of the Schwarzschild Interior
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• A black hole mass threshold from non-singular quantum gravitational collapse
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Loop Quantization of Vacuum Bianchi I Cosmology
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
• Quantum bounce and cosmic recall
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Quantum gravitational Kasner transitions in Bianchi-I spacetime
• Quantum Non-Gravity and Stellar Collapse
• Wave functions for the Schwarschild black hole interior
• Numerical solutions to lattice-refined models in loop quantum cosmology

Cited by in corpus (17)

• Vaidya spacetimes, black-bounces, and traversable wormholes
• On the geometry of the black-to-white hole transition within a single asymptotic region
• Loop quantum black hole
• Unsettling physics in the quantum-corrected Schwarzschild black hole
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Probing Effective Loop Quantum Gravity on Weak Gravitational Lensing, Hawking Radiation and Bounding Greybody Factor by Black Holes
• Loop Quantum Gravity motivated multihorizon rotating black holes
• Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• On consistent gauge fixing conditions in polymerized gravitational systems
• Solar system constraints of a polymer black hole in loop quantum gravity
• On the Possible Spacetime Structures of Rotating Loop Quantum Black Holes
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints