The geometry of singularities and the black hole information paradox

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Stoica, O.C.^1

Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering - Horia Hulubei, Bucharest, Romania^1

关键词: Black hole solutions;    Covariant derivatives;    Dimensional reduction;    Einstein equations;    Hyperbolic solution;    Information loss;    Quantum gravity;    Time evolutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012028/pdf
DOI  :  10.1088/1742-6596/626/1/012028

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic solutions. The method used is similar to that for the apparent singularity at the event horizon, but at the singularity, the resulting metric is degenerate. When the metric is degenerate, the covariant derivative, the curvature, and the Einstein equation become singular. However, recent advances in the geometry of spacetimes with singular metric show that there are ways to extend analytically the Einstein equation and other field equations beyond such singularities. This means that the information can get out of the singularity. In the case of charged black holes, the obtained solutions have nonsingular electromagnetic field. As a bonus, if particles are such black holes, spacetime undergoes dimensional reduction effects like those required by some approaches to perturbative Quantum Gravity.