Asymptotic non-flatness of an effective black hole model based on loop quantum gravity
Abstract
For any non-rotating effective quantum (uncharged) black hole model to be viable, its asymptotic structure of spacetime should reduce to that of a Schwarzschild black hole. After examining the asymptotic structure of quantum black holes proposed in Ashtekar et al., (2018), we find that the solution is actually not asymptotically flat. Departure from asymptotically flat spacetime is a direct consequence of the quantum parameters included in the model. Moreover, since the property of asymptotic flatness needs to be explicitly invoked, for instance, in relating the black hole and the white hole masses, it thereby raises a serious concern about the consistency of this model in view of the classical limit1.
Keywords
Cite
@article{arxiv.1902.07874,
title = {Asymptotic non-flatness of an effective black hole model based on loop quantum gravity},
author = {Mariam Bouhmadi-López and Suddhasattwa Brahma and Che-Yu Chen and Pisin Chen and Dong-han Yeom},
journal= {arXiv preprint arXiv:1902.07874},
year = {2020}
}
Comments
12 pages, 1 figure. Details included. Updated to match the published version