Quantum dynamics of the black hole interior in loop quantum cosmology

被引：23

作者：

Sartini, Francesco ^{[1
]}

Geiller, Marc ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, ENS Lyon, Univ Lyon, CNRS,Lab Phys,UMR 5672, Lyon, France

来源：

PHYSICAL REVIEW D | 2021年 / 103卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.103.066014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

It has been suggested that the homogeneous black hole interior spacetime, when quantized following the techniques of loop quantum cosmology, has a resolved singularity replaced by a black-to-white hole transition. This result has however been derived so far only using effective classical evolution equations, and depends on details of the so-called polymerization scheme for the Hamiltonian constraint. Here we propose to use the unimodular formulation of general relativity to study the full quantum dynamics of this mini-superspace model. When applied to such cosmological models, unimodular gravity has the advantage of trivializing the problem of time by providing a true Hamiltonian which follows a Schrodinger evolution equation. By choosing variables adapted to this setup, we show how to write semiclassical states agreeing with that of the Wheeler-DeWitt theory at late times, and how in loop quantum cosmology they evolve through the would-be singularity while remaining sharply peaked. This provides a very simple setup for the study of the full quantum dynamics of these models, which can hopefully serve to tame regularization ambiguities.

引用

页数：21

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