Asymptotic non-flatness of an effective black hole model based on loop quantum gravity
Feb 21, 2019
12 pages
Published in:
- Phys.Dark Univ. 30 (2020) 100701
- Published: Dec, 2020
e-Print:
- 1902.07874 [gr-qc]
DOI:
- 10.1016/j.dark.2020.100701 (publication)
View in:
Citations per year
Abstract: (Elsevier)
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 limit 1 1 Very recently, the authors of Ashtekar and Olmedo (2005) have investigated independently the asymptotic spacetime structure of the model of Ashtekar et al., (2018) in detail. They found that the fall-off of the curvature is slower than that of Schwarzschild spacetime. This pathology had, in fact, already been pointed out in the v2 version on arXiv of this paper ( arXiv:1902.07874v2 ), and will be explicitly shown in this version. .Note:
- 12 pages, 1 figure. Details included. Updated to match the published version
- Loop quantum gravity
- Quantum aspects of black holes
- black hole: quantum
- approximation: classical
- structure
- asymptotic behavior
- space-time: foliation
- SU(1,1)
- phase space
References(29)
Figures(1)
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]